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Paper Citation Record · LEDGER

Essential groupoid amenability and nuclearity of groupoid C*-algebras

As of 21 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2501.01775.

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

pith.paper-citation-record.v1
2501.01775 v3

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:29:57.513090Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:44:04.620890Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T19:20:05.791400Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved18
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10d4ea3a-7901-4ec3-976a-7d6cac7bb33f · outbound

This paper cites arXiv: 2406.05717.

Essential groupoid amenability and nuclearity of groupoid C*-algebras arXiv: 2406.05717

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T22:29:57.408788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:29:57.408788Z digest=sha256:8fb715269e044f2da3eb370675c2037531bd3a385fbab087d33afd792d4e3e67

Observation 52c39ed4-d930-4eda-a8c1-10f76c787764 · outbound

This paper cites On Hausdorff covers for non-Hausdorff groupoids.

Essential groupoid amenability and nuclearity of groupoid C*-algebras On Hausdorff covers for non-Hausdorff groupoids

Reference 2

Resolution
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no resolver link, observed 2026-08-10T22:29:57.412640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:29:57.412640Z digest=sha256:12b954cc27b42a2ef2f0594b937de00b55b6d129ac8f8a9ed86b31876daa6f7d

Observation 036f4b11-bac4-4302-b1fa-0541bd4e75e6 · outbound

This paper cites Brown and Narutaka Ozawa, C*-algebras and finite-dimensional approxima- tions, Graduate studies in mathematics, American Mathematical S ociety, Providence, R.I, 2008 (en).

Essential groupoid amenability and nuclearity of groupoid C*-algebras Brown and Narutaka Ozawa, C*-algebras and finite-dimensional approxima- tions, Graduate studies in mathematics, American Mathematical S ociety, Providence, R.I, 2008 (en)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.912372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.416560Z digest=sha256:4539775d77cabf6ecefb3462b60958747cfa0562b316cf0e873686a294a42f14

Observation 16d8b941-491f-4e70-ba00-c641592361a7 · outbound

This paper cites 88, Amer.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 88, Amer

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.902677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.420057Z digest=sha256:ed8e2359a193c79cf9a65cf2e739e32e57be9d7e63a8d1f0cd4551c18124c6e9

Observation 576ab0b7-d3e5-4f41-81b5-ab483ce624dd · outbound

This paper cites C*-algebras and groupoids , Journal of Functional Analysis 286 (2024), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras C*-algebras and groupoids , Journal of Functional Analysis 286 (2024), no

Reference 5

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raw_fallback, observed 2026-08-10T22:29:57.893364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.424001Z digest=sha256:7f2f2614b20df76d9946c5d913fb8833d4b0b0a81bd65aff8966941a65d7d19c

Observation bb2111f3-b5f9-421e-887d-7dd88bd15de4 · outbound

This paper cites Operator Theory 67 (2012), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Operator Theory 67 (2012), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.883918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.428280Z digest=sha256:8444feaa8a67bd7e403f4059f19af387621a3fa3c0984843bdf935f532fa910e

Observation 424fc915-b6c9-4408-9fb7-e32162f63e0b · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-10T22:29:57.873774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.432548Z digest=sha256:b7c0f531fa2117f0d588eadfcd4823b6d078dc4349ced7788ff4dbbfa5eb36e9

Observation 23d986e0-36a0-474d-848c-fb52dbd1b728 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.863958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.435753Z digest=sha256:1cfdc804eff5214467d5760ee59cf520954621af5c0da8fc5d1baad7db716027

Observation 451ba97a-433d-4a55-8f2b-bc8b0488fd75 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.854239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.439203Z digest=sha256:a1dfed2c48dcb984e343d09151f21828097b2db3d6b652d79006ed52f39e2c37

Observation 0ae9ea9a-eac5-46b0-870a-46a27e94b2ec · outbound

This paper cites 5, 3669–3712.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 5, 3669–3712

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.845020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.442599Z digest=sha256:df55bd1ce3607999464aadabdc957076062f70cecc68fe9878e44fb3440da42c

Observation 02b49f4a-3a8a-42d8-8af7-053dbcb11901 · outbound

This paper cites Elliott and Zhuang Niu, On the classification of simple amenable C*-algebras with finite decomposition rank , arXiv: Operator Algebras (2015).

Essential groupoid amenability and nuclearity of groupoid C*-algebras Elliott and Zhuang Niu, On the classification of simple amenable C*-algebras with finite decomposition rank , arXiv: Operator Algebras (2015)

Reference 11

Resolution
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raw_fallback, observed 2026-08-10T22:29:57.835703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.445882Z digest=sha256:9fbbc64bbb445deef362dddf722dec8450372aedc304d938dbab706223fa6d8f

Observation f425dea7-6ecd-4389-a006-f442400730bd · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.824009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.449041Z digest=sha256:36fae7cfd52394a286145c634f4aaf88928ef971e59752e5699d048dec0eb56f

Observation e81093bf-dd4f-45c2-b00b-f6d92c1aeac7 · outbound

This paper cites Pitts, Characterizing groupoid C∗ -algebras of non-Hausdorff étale groupoids , Lecture Notes in Mathematics, vol.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Pitts, Characterizing groupoid C∗ -algebras of non-Hausdorff étale groupoids , Lecture Notes in Mathematics, vol

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.813503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.452714Z digest=sha256:765ddf41c2ec5bed1360bfac804cfc351c0549ea3b057d9545d8c2a2a07bf75b

Observation 6648c142-2a73-405d-b07f-df0322512758 · outbound

This paper cites Systems 37 (2017), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Systems 37 (2017), no

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.802010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.455994Z digest=sha256:4a76feff6ab2ddffa73388116eb8b0a31ed2ec6d77aa4abad42b36f004e11b5b

Observation b821887e-ae97-4580-9c82-e976d081c7cc · outbound

This paper cites Reine Angew.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Reine Angew

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.792658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.459088Z digest=sha256:bbe9b6bcc7dcc69e1b4ed763c748d8d0268e60ece16aedce3c4e1f8ae669c81d

Observation 1a4d61ac-cbb9-4035-945c-5687b1e7a284 · outbound

This paper cites Operator Theory 89 (2023), no.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Operator Theory 89 (2023), no

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.782300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.462043Z digest=sha256:15add709f0e9ce651f6189354f8092917302763c3ff9f697272cfd11accbba8d

Observation 0a4d27ae-0fc9-463a-827f-983aa7334651 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.772428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.465136Z digest=sha256:a96f7b4dae3cfc4db48befeb38e02461b61d2a865732276e957bafe53f7c0cf4

Observation 5eae4371-2f3c-4a41-9f7f-88ccbeb8b20c · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.762281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.468208Z digest=sha256:1fcda21e40e9658f0b64fd24b3415941e707626e1193abdd7449b1c670a4dac0

Observation f2291207-2a0a-465d-924b-b4ba9a6a0394 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 19

Resolution
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raw_fallback, observed 2026-08-10T22:29:57.753153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.471476Z digest=sha256:23916098f0d76134ae674b3764f4f5636e63fcd2de55195042115935a49a1ec5

Observation c4767048-1862-4600-a8ac-67ae1fe475ab · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.742674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.474653Z digest=sha256:ccf063f3561bb9ce463bfd4db6412ec26635674da2103765d10f1f7935e85403

Observation 1e7bc025-0ee7-4e55-a992-f6f92a743805 · outbound

This paper cites 96, Cambr idge University Press, Cambridge, 2020.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 96, Cambr idge University Press, Cambridge, 2020

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.731542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.478152Z digest=sha256:9e0fcefe12ee608c1186af881b4461f4423caf20c14831bb4c325c97743444aa

Observation c856acfc-08ae-4c61-88b8-47b0d8156591 · outbound

This paper cites 793, Springer, Berlin, 1980.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 793, Springer, Berlin, 1980

Reference 22

Resolution
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raw_fallback, observed 2026-08-10T22:29:57.720487Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.481142Z digest=sha256:5712fcf5eeb971765c6c04ac5af430cd1dd85ff894ffcfaa85c09307bd279a47

Observation c4a62c92-d900-4ff1-b25e-1eb64a4bfc88 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.710774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.484619Z digest=sha256:1eaa979c09dc51b44c35a13100a7a1a1e543445148172c6af03d5271c8533e60

Observation a22ced29-e836-4050-9503-ffe8cb12b52a · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 24

Resolution
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raw_fallback, observed 2026-08-10T22:29:57.701530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.487595Z digest=sha256:5cf306676727284f306f9a17a0b2a0700002735a71c5a63b3a1b92db1898c185

Observation f96e4042-b236-46c0-b685-f81ccc82981a · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.691984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a0b79562-9565-4379-ad6c-fa490e960b48 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.682519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3bcbc139-1ebd-470c-9ca2-4bd2e1e1e4ea · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.671214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.497167Z digest=sha256:01b0fe00b4aa864e73e06d44347fe48dbc3c3be3255a3f78044b1000e6623703

Observation e76c6db4-2283-473d-9633-a24c21ea3cd7 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.660146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.500406Z digest=sha256:ee4b4493b7c0f934b24d07a9765ea06281c8a4cd3141554fc101a3dce1b9a38a

Observation e2da3b4d-b2d6-4c98-a0bc-85d98b1dc48f · outbound

This paper cites 1, 229–284.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 1, 229–284

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.650069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.503764Z digest=sha256:f4779bb7cabbe4c48e00fd1bbe9a053f4deb64b10f700a9953d3420f949a5031

Observation 9045fa0d-8e28-4279-bf81-3d3bcec12be9 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.639811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.507099Z digest=sha256:5d0cb752c8c586afe6192268e852af7c3be03c3b532dea169b4885831c86e537

Observation 1213ebc8-a674-4d42-b095-652e8ad0ee46 · outbound

This paper cites an unresolved cited work.

Essential groupoid amenability and nuclearity of groupoid C*-algebras Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:29:57.629658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.509925Z digest=sha256:4004b037b4001682a3c2179d2e805d2759562229cee129e0d7d6ea192dd1975f

Observation fca2a954-ae29-424d-bee3-059bac3b1385 · outbound

This paper cites 2, 461–498.

Essential groupoid amenability and nuclearity of groupoid C*-algebras 2, 461–498

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T22:29:57.618782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-10T22:29:57.513090Z digest=sha256:e90e0b72a0b6865f3a6fe9dce1bff992ee91873bf4c2bbdda0fff8e45bd97e37

Pith citing papers

Observation 08d8cc6f-c09e-42b7-86c8-873ac7954dc7 · inbound

The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth cites this paper.

The ideal structure of C*-algebras of etale groupoids with isotropy groups of local polynomial growth Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 2008

Resolution
unresolved
no resolver link, observed 2026-08-11T14:44:04.620890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:44:04.620890Z digest=sha256:0568b3264e4e5afc6bb6d1436de2d27bb7014eb0fb9ed75975cc7817d7db593b

Observation 1a073e1f-7631-4c3c-999c-4abed678a4f9 · inbound

Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions cites this paper.

Algebraic singular functions are not always dense in the ideal of $C^*$-singular functions Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T10:56:17.615010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-18T10:55:16.681816Z digest=sha256:dc484fa432f5e66d4a2430bc07b1bc298f5d2eec4347e870dd5a84faade9c1ac

Observation 8f2c2566-e2d1-46a6-bf62-72335c03682c · inbound

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

A Baum-Connes assembly map for essential semigroup crossed products Essential groupoid amenability and nuclearity of groupoid C*-algebras

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-04T19:20:05.795116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-25T21:34:28.760949Z digest=sha256:f1ef707387777823b2b13cbabc84099773ddf9b02084eacd929c11c2ca41e7cd