Paper Citation Record · LEDGER

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups

As of 16 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2601.07100.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2601.07100 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:21:43.398691Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-25T21:34:28.760949Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T19:20:05.739928Z

Reference resolution

49 of 49 outbound references displayed

verified exact27
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a15b74af-b4ef-4ae7-b172-744814bffd8e · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-03T11:23:34.090146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 331a1452-8f5c-402a-bafe-21168d0d8c99 · outbound

This paper cites Systems 43 (2023), 361–400, DOI: 10.1017/etds.2021.115.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Systems 43 (2023), 361–400, DOI: 10.1017/etds.2021.115

Reference 2

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.949878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d55cf61-0d99-40f2-b42c-492fc67a1872 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:42.278405Z

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Unavailable: canonical work link unavailable.

Observation 745eccd2-9f34-4660-bcf6-a6ef288e06de · outbound

This paper cites Ara and M.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Ara and M

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:42.438207Z

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Unavailable: canonical work link unavailable.

Observation bce5b5d3-7e02-4570-a2cf-cfff7c8e8d01 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.782218Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d4514f7-59a7-4b01-93e9-65a9b08bb889 · outbound

This paper cites Blackadar, K-Theory for Operator Algebras , second ed., Math.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Blackadar, K-Theory for Operator Algebras , second ed., Math

Reference 6

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.618777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a39bf5e4-4eb8-4caf-a463-65be05cf933c · outbound

This paper cites 122, Springer, Berlin, 2006, DOI: 10.1007/3-540-28517-2.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups 122, Springer, Berlin, 2006, DOI: 10.1007/3-540-28517-2

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:42.695527Z

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Observation 6f4d3318-2618-4b04-aa80-0327f5d0d4af · outbound

This paper cites Blanchard and E.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Blanchard and E

Reference 8

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.442078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ee12c358-8c53-46ff-a72f-ce256549f36c · outbound

This paper cites B¨ onicke and K.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups B¨ onicke and K

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.005261Z

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Unavailable: canonical work link unavailable.

Observation 8c408487-92a3-4745-a7cb-67a9112c7fb6 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.270841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b3ad017d-f590-44fa-854b-ccdd464eb69e · outbound

This paper cites Brown and A.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Brown and A

Reference 11

Resolution: verified exact; doi, observed 2026-08-03T11:23:33.108754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 199f002c-f0e6-4cf8-8f30-e72b6b0d6f58 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.936158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a86108cf-ec04-4a22-a30e-4b1ab16d0f5a · outbound

This paper cites Buss and D.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Buss and D

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.171962Z

Source-reported events for the cited work

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Observation 387304fd-5edd-429d-835e-a90e7e0a554a · outbound

This paper cites Coward, G.A.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Coward, G.A

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.177060Z

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Observation b65bb081-9e73-4aae-a329-6c64ea3220f2 · outbound

This paper cites Elliott, L.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Elliott, L

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.187112Z

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Observation bdd19d1e-2486-44d9-9ecf-0df9abc8c7c6 · outbound

This paper cites Exel, Inverse semigroups and combinatorial C*-algebras , Bull.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Exel, Inverse semigroups and combinatorial C*-algebras , Bull

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.192792Z

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Observation b1564a6a-7180-4e6a-bf66-c6d172c177bf · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.198928Z

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Unavailable: canonical work link unavailable.

Observation 9174f32d-2ce8-49b9-9cc0-afd4f002628b · outbound

This paper cites Exel and D.R.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Exel and D.R

Reference 18

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.779166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a4865683-b97a-486d-8b2a-78330c360781 · outbound

This paper cites Gardella and F.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Gardella and F

Reference 19

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.610081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7fd15d4f-7289-494f-b834-c58abaec87bb · outbound

This paper cites Haagerup, Quasitraces on exact C*-algebras are traces , C.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Haagerup, Quasitraces on exact C*-algebras are traces , C

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.220756Z

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Unavailable: canonical work link unavailable.

Observation 27f6ea85-327b-4e5d-b44f-0ed4e5b021e3 · outbound

This paper cites Jacelon, A simple, monotracial, stably projectionless C*-algebra, J.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Jacelon, A simple, monotracial, stably projectionless C*-algebra, J

Reference 21

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.472189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 836df288-9dfd-4785-80da-c15336a31587 · outbound

This paper cites The ideal intersection property for essential groupoid C*-algebras.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups The ideal intersection property for essential groupoid C*-algebras

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.232745Z

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Unavailable: canonical work link unavailable.

Observation 36728196-49e2-4bb8-8cdb-966847d02150 · outbound

This paper cites Kerr, Dimension, comparison, and almost finiteness , J.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Kerr, Dimension, comparison, and almost finiteness , J

Reference 23

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.358265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 43134708-94e4-4622-980b-627fc1a1125c · outbound

This paper cites Kirchberg and M.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Kirchberg and M

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.245579Z

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Unavailable: canonical work link unavailable.

Observation 4b6ad08f-ac4b-4427-80e7-4fad6258fd60 · outbound

This paper cites Kwa´ sniewski and R.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Kwa´ sniewski and R

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.251047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 893e2523-fe93-472e-9435-d651cec8a7eb · outbound

This paper cites Type semigroups for twisted groupoids and a dichotomy for groupoid C*-algebras.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Type semigroups for twisted groupoids and a dichotomy for groupoid C*-algebras

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.257647Z

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Unavailable: canonical work link unavailable.

Observation c418c09b-b150-44db-9207-9c433c1efec8 · outbound

This paper cites Ma, A generalized type semigroup and dynamical comparison , Ergodic Theory Dynam.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Ma, A generalized type semigroup and dynamical comparison , Ergodic Theory Dynam

Reference 27

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.238043Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 49e4d87e-5afc-4cdc-b077-955bef5dada6 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-03T11:23:32.109897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0e36c955-6209-46a8-b479-831ca8c2841c · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.946607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e890dcc0-22a6-40f6-9542-b16d4185ae6d · outbound

This paper cites Murphy, C*-Algebras and Operator Theory, Academic Press, Inc., Boston, MA, 1990.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Murphy, C*-Algebras and Operator Theory, Academic Press, Inc., Boston, MA, 1990

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.281009Z

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Unavailable: canonical work link unavailable.

Observation 1d4d5521-831d-4d74-abc5-8430a9384bf4 · outbound

This paper cites Ortega, M.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Ortega, M

Reference 31

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.782696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ae01559e-6de3-416c-b7e1-72148e1ec7ce · outbound

This paper cites Paterson, Groupoids, Inverse Semigroups, and Their Operator Algebras , Progr.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Paterson, Groupoids, Inverse Semigroups, and Their Operator Algebras , Progr

Reference 32

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.660256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0b38ac6a-1a14-4978-a985-38adcf9bf57e · outbound

This paper cites Pedersen, C*-Algebras and Their Automorphism Groups , second ed., Pure Appl.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Pedersen, C*-Algebras and Their Automorphism Groups , second ed., Pure Appl

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.299258Z

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Observation 31da56eb-1577-42b6-93a5-becb1efe4685 · outbound

This paper cites Perera, The structure of positive elements for C*-algebras with real rank zero , Internat.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Perera, The structure of positive elements for C*-algebras with real rank zero , Internat

Reference 34

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.483128Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac1857a7-123f-4341-8a1a-98c304049d8c · outbound

This paper cites Raeburn and D.P.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Raeburn and D.P

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.311756Z

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Observation 7bb181cc-17f0-4213-bfeb-adb3d2167e78 · outbound

This paper cites Rainone, Noncommutative topological dynamics , Proc.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Rainone, Noncommutative topological dynamics , Proc

Reference 36

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.329794Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aafc6236-6f91-4f5c-866a-32a0337cc1dd · outbound

This paper cites Noncommut.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Noncommut

Reference 37

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.213294Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e1c4737d-a96e-4cd5-85c0-6c1e13a8dfe7 · outbound

This paper cites Rainone and A.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Rainone and A

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.331159Z

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Unavailable: canonical work link unavailable.

Observation 73820f8f-8b57-4f7e-9349-1eca4f96a85d · outbound

This paper cites Robert, The cone of functionals on the Cuntz semigroup , Math.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Robert, The cone of functionals on the Cuntz semigroup , Math

Reference 39

Resolution: verified exact; doi, observed 2026-08-03T11:23:31.046704Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ca30473f-0c60-48fa-9245-722f09579a26 · outbound

This paper cites an unresolved cited work.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.343149Z

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Unavailable: canonical work link unavailable.

Observation 64b6110c-b26c-44ec-ba5c-099e02c9c501 · outbound

This paper cites Robert and A.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Robert and A

Reference 41

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.888698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dafe51a1-1f41-4c18-8f84-f2e506415cdb · outbound

This paper cites Rørdam, F.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Rørdam, F

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.354062Z

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Unavailable: canonical work link unavailable.

Observation e6229280-4606-4373-a7f1-215ca6cb6e32 · outbound

This paper cites Saitˆ o and J.D.M.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Saitˆ o and J.D.M

Reference 43

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.727986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fcc6d361-2ac0-41e4-81ac-e867dcff0146 · outbound

This paper cites Sieben, C*-crossed products by partial actions and actions of inverse semigroups , J.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Sieben, C*-crossed products by partial actions and actions of inverse semigroups , J

Reference 44

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.606255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ea0d0d5b-146a-40e7-a773-6e8cf6c65ef3 · outbound

This paper cites Thiel, The Cuntz semigroup , 2017, hannesthiel.org/wp-content/OtherWriting/CuScript.pdf.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Thiel, The Cuntz semigroup , 2017, hannesthiel.org/wp-content/OtherWriting/CuScript.pdf

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.369179Z

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Observation a68bb2f0-fbe7-4a71-a2d6-ef1d8298f57c · outbound

This paper cites Thiel and E.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Thiel and E

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T11:21:43.379186Z

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Observation 7c892e71-2b59-4200-9084-587f0128e6b3 · outbound

This paper cites Tomkowicz and S.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Tomkowicz and S

Reference 47

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.388560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f9b10694-def4-43a1-9c3d-9587f7cbcf40 · outbound

This paper cites Vilalta, The Cuntz semigroup of unital commutative AI-algebras , Canad.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Vilalta, The Cuntz semigroup of unital commutative AI-algebras , Canad

Reference 48

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.262254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6da663d7-936d-460a-bf13-3ad1c8570fab · outbound

This paper cites Wehrung, Injective positively ordered monoids.

A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups Wehrung, Injective positively ordered monoids

Reference 49

Resolution: verified exact; doi, observed 2026-08-03T11:23:30.120752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation 9b662296-1590-4f59-abc6-a55052c32d81 · inbound

An introduction to separated graphs and their type semigroups cites this paper.

An introduction to separated graphs and their type semigroups A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-08T02:18:09.995934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d808afb-5418-4a7e-a818-38b1363e1dec · inbound

A Baum-Connes assembly map for essential semigroup crossed products cites this paper.

A Baum-Connes assembly map for essential semigroup crossed products A dichotomy for inverse-semigroup crossed products via dynamical Cuntz semigroups

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-08T02:18:09.995934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.