Paper Citation Record · LEDGER

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.22930.

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

pith.paper-citation-record.v1
2505.22930 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:09:00.101807Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy12
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e0240f39-632f-4770-9148-378f75066137 · outbound

This paper cites Semigroups of linear operators , volume 93.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Semigroups of linear operators , volume 93

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:03.477449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f987734d-dbc4-4fcc-9b4e-5c94840d6a89 · outbound

This paper cites On twisted Fourier analys is and convergence of Fourier series on discrete groups.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras On twisted Fourier analys is and convergence of Fourier series on discrete groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:03.166901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 44c7c736-4bd6-4043-8ab2-341480bf2aa6 · outbound

This paper cites Fourier series and twiste d C*-crossed products.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Fourier series and twiste d C*-crossed products

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:02.935654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2f315d6-39d3-4ac1-a353-df5ae6617975 · outbound

This paper cites Heat Properties for Group s.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Heat Properties for Group s

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:02.615577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f1002843-4299-4ced-9e3d-f635e056f045 · outbound

This paper cites Operator algebras and quantum statistical mechanics: Volu me 1: C-and W-Algebras.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Operator algebras and quantum statistical mechanics: Volu me 1: C*-and W*-Algebras

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:02.331654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8ad8e52d-18c6-474f-ada3-1f1a0506046f · outbound

This paper cites Dym and H.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Dym and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:01.996591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0318be8-1724-454e-8f64-0d654f940ca7 · outbound

This paper cites One-parameter semigroups for linear evolution equations , volume.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras One-parameter semigroups for linear evolution equations , volume

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:01.787939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a11be2f4-633c-4062-8380-d1e305fce723 · outbound

This paper cites An example of a non nuclear C*-algebra, whi ch has the metric approximation property.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras An example of a non nuclear C*-algebra, whi ch has the metric approximation property

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:01.504745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52b4a7a7-232d-4b87-951f-aeb140467a40 · outbound

This paper cites Abstract harmonic analy sis.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Abstract harmonic analy sis

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:01.262196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72117b0b-1560-4ea4-941d-24b34a69a2b5 · outbound

This paper cites The Wave Equation in the Context of Reduced Group C*-Algebra s.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras The Wave Equation in the Context of Reduced Group C*-Algebra s

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:00.944116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eaa99101-d483-4510-b20e-a8601de1741d · outbound

This paper cites Unbounded de rivations of group C∗ -algebras.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Unbounded de rivations of group C∗ -algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:00.677193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0932a4d2-ab19-4813-9619-ac26041c48b0 · outbound

This paper cites Fourier Analysis: An Introduction , volume 1.

The Wave Equation in the Context of Reduced Groups $C^*$-Algebras Fourier Analysis: An Introduction , volume 1

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:09:00.382412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.