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Paper Citation Record · LEDGER

The regular representation of Neretin groups is factorial

As of 15 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2506.24029.

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

pith.paper-citation-record.v1
2506.24029 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:42:32.276440Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:50:02.437763Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a52e2cc-d929-410a-b095-0192ba7bb7cf · outbound

This paper cites On the type of the von Neumann algebra of an open subgroup of the Neretin group.

The regular representation of Neretin groups is factorial On the type of the von Neumann algebra of an open subgroup of the Neretin group

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.806860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.213040Z digest=sha256:eab604688d84b536a09891270378a348afd91afbc1a672656ca12479fd60570f

Observation af26ab90-2656-4f44-a59f-f53b0c717dc2 · outbound

This paper cites Hecke C∗-algebras and amenability.

The regular representation of Neretin groups is factorial Hecke C∗-algebras and amenability

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.050498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:32.119205Z digest=sha256:dbe94e1d3d08e7df175d9dcf12a2a46d44fe2730432301120645f0026edd4b4f

Observation 59782b2f-aae9-4047-bea9-bc50be3d66c3 · outbound

This paper cites The regular representation of restricted direct product groups.

The regular representation of Neretin groups is factorial The regular representation of restricted direct product groups

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.256125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.502761Z digest=sha256:abdf3ecdc1533cc56e257a56d1cf0e2800752e49cddb49271c00f8a3d2dfa90e

Observation a8538102-6f96-4beb-9c1b-58ff20edbaca · outbound

This paper cites Factoriality of twisted locally compact group von Neumann algebras.

The regular representation of Neretin groups is factorial Factoriality of twisted locally compact group von Neumann algebras

Reference 12

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:42:32.695779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:32.186462Z digest=sha256:e7ac82076f716e8f5f7efc3f82eec1781fe42064c0150958e5e16b91acbaff2d

Observation 7bfa14fd-eb8f-4b85-82fb-3fbac7baf5cb · outbound

This paper cites Simple groups without lattices.

The regular representation of Neretin groups is factorial Simple groups without lattices

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.624513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.312757Z digest=sha256:d0887653a9bd488e44720ea6f9a0ffbfed361c66df6ecf29602ba0049a8cc133

Observation df50fc10-efdd-432d-ad01-24f012a3cb5e · outbound

This paper cites Piecewise strongly proximal actions, free boundaries and the Neretin groups.

The regular representation of Neretin groups is factorial Piecewise strongly proximal actions, free boundaries and the Neretin groups

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.073666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.561883Z digest=sha256:46dea3530bea0f9e7c1d2006a3513ed1c6f95eba07b0ce43158f8a7356ba8ff1

Observation e3de66a9-9511-4359-8b04-61ecfca8c3df · outbound

This paper cites Springer-Verlag, Berlin-New York, 1977, pp.

The regular representation of Neretin groups is factorial Springer-Verlag, Berlin-New York, 1977, pp

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.695024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.842767Z digest=sha256:99c41c4a18229e06605b49b9aa479a648864285f7c7aec6d4ba23c83d536027b

Observation 12b0b45f-afb2-4206-a4a1-0ce86c2f0b39 · outbound

This paper cites Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index.

The regular representation of Neretin groups is factorial Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index

Reference 161

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.249384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:32.028908Z digest=sha256:8b1c921c8aa1c9f62988a0bcda0bcc3f249553aaa46ada4f94d1cd23d799dfe0

Observation 9f878119-45ae-4049-a8a8-967be7761110 · outbound

This paper cites American Mathematical Society, Providence, RI, 2020, pp.

The regular representation of Neretin groups is factorial American Mathematical Society, Providence, RI, 2020, pp

Reference 250

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:34.426708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.406816Z digest=sha256:6964e8bfac3ca2ab0ba8900473ac12ec5dfd33a75eed5468ba5a182d91810d07

Observation a3017bb4-5e77-4107-a39b-85309d78490c · outbound

This paper cites Murray–von Neumann di- mension for strictly semifinite weights.

The regular representation of Neretin groups is factorial Murray–von Neumann di- mension for strictly semifinite weights

Reference 447

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.889607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.651839Z digest=sha256:5245f6750cd0f445bd1ea13145cb57cb1c14eefcd67a9f573aa51e3049ab5e0c

Observation cf00a767-7f7e-4c92-b93e-4ea222b07da5 · outbound

This paper cites Neretin groups admit no non-trivial invariant random subgroups.

The regular representation of Neretin groups is factorial Neretin groups admit no non-trivial invariant random subgroups

Reference 2019

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:42:32.479129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:32.276440Z digest=sha256:1c6db9619aa46473edb524d21aff8831dff940af71e96e3a13da7666aa0bbea8

Observation cd0c0ac1-4f05-4703-be31-193adb399c69 · outbound

This paper cites Locally compact piecewise full groups of homeomorphisms.

The regular representation of Neretin groups is factorial Locally compact piecewise full groups of homeomorphisms

Reference 2025

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T21:42:32.842311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.763081Z digest=sha256:37c6f944389ae296320f861de1a7d94059d5e0202d5752ded1190411cd9bb2f8

Observation 6a229b66-1cf6-4715-8e4c-040dbe9772ea · outbound

This paper cites C∗-simplicityofrelativeprofinitecompletionsofgeneralizedBaumslag- Solitar groups.

The regular representation of Neretin groups is factorial C∗-simplicityofrelativeprofinitecompletionsofgeneralizedBaumslag- Solitar groups

Reference 2505

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:42:33.473644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:42:31.963804Z digest=sha256:8b82361c1e4c35596cace939e147486ea63f9dd25c765dde96605a9eb8fcd9c7

Pith citing papers

Observation f4da76af-3a9c-47e6-8b1c-00a408817737 · inbound

Projective representations of almost unimodular groups cites this paper.

Projective representations of almost unimodular groups The regular representation of Neretin groups is factorial

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-04T19:50:02.437763Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T19:50:02.437763Z digest=sha256:e1511a4e8e3c6923a0ba09655e237a382a5254fd474a9cb14b18fba6c64313d1

Observation 53edf8c6-e0ad-4010-9bc6-bb60f6c3d3ff · inbound

Non-strong ergodicity of canonical actions of the Thompson groups cites this paper.

Non-strong ergodicity of canonical actions of the Thompson groups The regular representation of Neretin groups is factorial

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:00.634773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:00.634773Z digest=sha256:1a6ab659d2adb404c77519215b003629c2ecb1d326b78c481ad261efe721db1c

Observation e4aa14ee-d2f1-48c8-811d-8db24ff33e24 · inbound

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras cites this paper.

On ergodicity of linear actions on $\mathbb{R}^n$ and factoriality of group von Neumann algebras The regular representation of Neretin groups is factorial

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T08:03:26.953255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T08:03:26.953255Z digest=sha256:9cc66bc9fda240a831a98445c45c05be217e9d35432160bc911ca243a091ee6f