Paper Citation Record · LEDGER

Lie ideals in properly infinite C*-algebras

As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2412.16087.

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

pith.paper-citation-record.v1
2412.16087 v2

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:06:07.180186Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact2
verified fuzzy17
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba4e3899-c33e-4bde-aebc-f18e6d9ba9cc · outbound

This paper cites Strict comparison in reduced group $C^*$-algebras.

Lie ideals in properly infinite C*-algebras Strict comparison in reduced group $C^*$-algebras

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T11:06:07.039610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58003831-eb23-4b4c-b1b7-5b2b5da55c78 · outbound

This paper cites Antoine , F.

Lie ideals in properly infinite C*-algebras Antoine , F

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T11:06:07.045018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9569d62f-ce78-4280-986e-64fc999f60a1 · outbound

This paper cites Pure C*-algebras.

Lie ideals in properly infinite C*-algebras Pure C*-algebras

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T11:06:07.049567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9b701bb-b662-4464-9a5b-e5c56d562b5e · outbound

This paper cites Archbold , L.

Lie ideals in properly infinite C*-algebras Archbold , L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.660102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 21fdc12a-5176-45c5-870b-84f81cb33981 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.645101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e4361b9c-1071-434e-bc3d-a814a271c973 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T11:06:07.064603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da73a8e-1028-4a36-9836-69b1835f8ec8 · outbound

This paper cites Breuillard , M.

Lie ideals in properly infinite C*-algebras Breuillard , M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.619923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cf711bb6-68cc-48dc-a1cf-05305a2f828c · outbound

This paper cites Bre s ar , Zero product determined algebras, Frontiers in Mathematics, Birkh\" a user/Springer, Cham, 2021.

Lie ideals in properly infinite C*-algebras Bre s ar , Zero product determined algebras, Frontiers in Mathematics, Birkh\" a user/Springer, Cham, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.605039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2605fa91-83f7-40ef-8cad-8a133f8e74e5 · outbound

This paper cites Bre s ar , E.

Lie ideals in properly infinite C*-algebras Bre s ar , E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.590587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e7f5cf8b-7f16-4a1b-92c2-09d17e9a468d · outbound

This paper cites Cuntz and G.

Lie ideals in properly infinite C*-algebras Cuntz and G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.577636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0b5aefe3-6b88-4752-b932-1d95f715991b · outbound

This paper cites Dykema , T.

Lie ideals in properly infinite C*-algebras Dykema , T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.563331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d023206d-7a0e-4f45-b125-37c1f522a260 · outbound

This paper cites Dykema and A.

Lie ideals in properly infinite C*-algebras Dykema and A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.549087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3878a9a2-7368-4fc8-ba05-76494c567d48 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.534580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 502fa101-0b7c-4e2c-9287-27ee1bc49828 · outbound

This paper cites Semiprime ideals in C*-algebras.

Lie ideals in properly infinite C*-algebras Semiprime ideals in C*-algebras

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:06:07.243423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3fa63478-7340-4f10-b3cb-8f93226d168e · outbound

This paper cites Fully noncentral Lie ideals and invariant additive subgroups in rings.

Lie ideals in properly infinite C*-algebras Fully noncentral Lie ideals and invariant additive subgroups in rings

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-11T11:06:07.222843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 90010a8e-eada-44fd-aa0b-069512c95d91 · outbound

This paper cites Gardella and H.

Lie ideals in properly infinite C*-algebras Gardella and H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.520234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d4d7107b-d4ac-4ca0-89a0-7dc2186ea22a · outbound

This paper cites Gardella and H.

Lie ideals in properly infinite C*-algebras Gardella and H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.505415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 24f53355-bdb4-44dd-99de-58f434f300ae · outbound

This paper cites Gardella and H.

Lie ideals in properly infinite C*-algebras Gardella and H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.492372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 248a186d-4f4d-4f47-a352-4f2c97f40654 · outbound

This paper cites Haagerup , Quasitraces on exact s are traces, C.

Lie ideals in properly infinite C*-algebras Haagerup , Quasitraces on exact s are traces, C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.478489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d337e71d-4ede-4d1c-9a22-741b62461240 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.464381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4affbbb2-88eb-47a8-a461-8d8a721639b0 · outbound

This paper cites Kirchberg , On the existence of traces on exact stably projectionless simple s , in Operator algebras and their applications ( W aterloo, ON , 1994/1995) , Fields Inst.

Lie ideals in properly infinite C*-algebras Kirchberg , On the existence of traces on exact stably projectionless simple s , in Operator algebras and their applications ( W aterloo, ON , 1994/1995) , Fields Inst

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.449469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2222cf67-f003-4c97-b59c-dbd1a526c790 · outbound

This paper cites Kirchberg and M.

Lie ideals in properly infinite C*-algebras Kirchberg and M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.434411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c2d69ef1-f2b6-4d87-8d9c-7719206d5b6f · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.419926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 155b0466-67ff-4d73-93c5-fb62b7fdf286 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.405226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ff2d95da-0dcc-4333-bb1a-e0536fbc976b · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.390753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e5ab4fb9-97f6-4b4f-a83c-d3d763c9ee0f · outbound

This paper cites Marcoux , On the closed L ie ideals of certain s , Integral Equations Operator Theory 22 (1995), 463--475.

Lie ideals in properly infinite C*-algebras Marcoux , On the closed L ie ideals of certain s , Integral Equations Operator Theory 22 (1995), 463--475

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.375345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a1d060c8-315d-4f28-8738-e0cc947da4c1 · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.359555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 245a3322-20f3-4629-a863-9f0faf3332fb · outbound

This paper cites an unresolved cited work.

Lie ideals in properly infinite C*-algebras Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T11:06:07.345211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3aff0c53-43ae-4f44-9db6-68f285fbbc55 · outbound

This paper cites Perera and M.

Lie ideals in properly infinite C*-algebras Perera and M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.329460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 27583daf-77c7-4946-bdda-b499dba6a017 · outbound

This paper cites Pop , Finite sums of commutators, Proc.

Lie ideals in properly infinite C*-algebras Pop , Finite sums of commutators, Proc

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.314010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ec043445-14b6-47cd-876b-d22a5637a8de · outbound

This paper cites Robert , On the L ie ideals of s , J.

Lie ideals in properly infinite C*-algebras Robert , On the L ie ideals of s , J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T11:06:07.298728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 49017297-44fd-4d59-a221-3670e9e58c62 · outbound

This paper cites Winter , Nuclear dimension and Z -stability of pure s , Invent.

Lie ideals in properly infinite C*-algebras Winter , Nuclear dimension and Z -stability of pure s , Invent

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T11:06:07.180186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.