Paper Citation Record · LEDGER

Simplicity of algebras and $C^*$-algebras of self-similar groupoids

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2510.19735.

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

pith.paper-citation-record.v1
2510.19735 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:43:08.823468Z

measured 36 of 36 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 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

36 of 36 outbound references displayed

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Outbound references

Observation f3e689af-cc40-475b-a300-a800f140a769 · outbound

This paper cites The Leavitt path algebra of a graph.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids The Leavitt path algebra of a graph

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:05.070071Z

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Observation bb76defd-d6a8-412b-9065-885288c9854c · outbound

This paper cites Inverse semigroups on graphs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Inverse semigroups on graphs

Reference 2

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Observation 23dbd0a0-7ced-4083-8f4e-2e5cec5c72c7 · outbound

This paper cites Congruence-free inverse semigroups with zero.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Congruence-free inverse semigroups with zero

Reference 3

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Observation 6184e4e1-30b5-478c-a874-ad623c9f2dd0 · outbound

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

Simplicity of algebras and $C^*$-algebras of self-similar groupoids On Hausdorff covers for non-Hausdorff groupoids

Reference 4

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Observation 4a6f6d3c-7ffd-4f30-9e53-de25ce397800 · outbound

This paper cites KK-dualityforself-similargroupoid actions ongraphs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids KK-dualityforself-similargroupoid actions ongraphs

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:05.595330Z

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Observation a1a78f30-4212-4478-a9dd-a7b3843fc2af · outbound

This paper cites Simplicity of algebras associated to non-Hausdorff groupoids.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Simplicity of algebras associated to non-Hausdorff groupoids

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:05.700150Z

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Observation 55bd2488-0567-4a17-b533-78f656a59ab0 · outbound

This paper cites A groupoid generalisation of Leavitt path algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids A groupoid generalisation of Leavitt path algebras

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:05.782708Z

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Observation d1d64a51-1e54-4ae1-a825-7de60ea017be · outbound

This paper cites A Steinberg algebra approach to étale groupoidC ∗-algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids A Steinberg algebra approach to étale groupoidC ∗-algebras

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:05.891675Z

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Observation 8258ead9-d718-4184-8636-2c3f1a869c8d · outbound

This paper cites A class ofC∗-algebras and topologicalMarkovchains.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids A class ofC∗-algebras and topologicalMarkovchains

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.038589Z

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Observation 0d35e31d-4cd6-414c-b1ba-4b134823ab3a · outbound

This paper cites Inverse semigroups and combinatorialC ∗-algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Inverse semigroups and combinatorialC ∗-algebras

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.119116Z

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Observation 4122c832-37fa-4fa9-93db-1ea480ecdd53 · outbound

This paper cites Self-similar graphs, a unified treatment of Katsura and NekrashevychC∗-algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Self-similar graphs, a unified treatment of Katsura and NekrashevychC∗-algebras

Reference 11

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Observation 4eef1675-cceb-43d4-b008-bacd9ab06604 · outbound

This paper cites Characterizing groupoidC ∗-algebras of non-Hausdorff étale groupoids.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Characterizing groupoidC ∗-algebras of non-Hausdorff étale groupoids

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.334122Z

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Observation 3d7bdfa9-cd73-4964-ba69-cc1d80236ff9 · outbound

This paper cites Higher-rank graph C ∗-algebras: An inverse semigroup and groupoid approach.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Higher-rank graph C ∗-algebras: An inverse semigroup and groupoid approach

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.442073Z

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Observation 8f22331a-64a3-4c3b-a3a2-6cc50c856f0f · outbound

This paper cites SimplicityofC ∗-algebrasofcontractingself-similargroups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids SimplicityofC ∗-algebrasofcontractingself-similargroups

Reference 14

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Observation 5e8c95ee-ba64-449b-882b-a838ed838d30 · outbound

This paper cites Burnside problem on periodic groups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Burnside problem on periodic groups

Reference 15

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Observation f990d88a-3e14-412d-a585-3fb3c7b0918c · outbound

This paper cites On a torsion-Free weakly branch group defined by a three state automaton.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids On a torsion-Free weakly branch group defined by a three state automaton

Reference 16

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Observation 2d31b506-aef8-42f3-957a-a67357d53de7 · outbound

This paper cites An algebraic analogue of Exel-PardoC ∗-algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids An algebraic analogue of Exel-PardoC ∗-algebras

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.832700Z

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Observation 9a5194c4-a7d9-4ddf-9ef7-bec475d69c87 · outbound

This paper cites Howie.Fundamentals of Semigroup Theory.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Howie.Fundamentals of Semigroup Theory

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:06.922151Z

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Observation 75e75490-26a7-4d86-b82b-572d8cdefea5 · outbound

This paper cites Equilibrium states on operator algebras associated to self-similar actions ofgroupoidsongraphs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Equilibrium states on operator algebras associated to self-similar actions ofgroupoidsongraphs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.016095Z

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Observation b495d937-707d-486f-bcd9-1dd12a2d48f2 · outbound

This paper cites A correspondence between a class of monoids and self- similar group actions I.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids A correspondence between a class of monoids and self- similar group actions I

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.073466Z

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Observation 946a2a50-855f-42af-979e-9f0503ad56a4 · outbound

This paper cites Primer on inverse semigroups I.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Primer on inverse semigroups I

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.181816Z

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Observation 915545ef-1722-4b50-a18d-fba3cb01bcd1 · outbound

This paper cites an unresolved cited work.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Unresolved cited work

Reference 22

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Observation 76774d7d-ae49-43a1-8ee1-e18ec41a9ceb · outbound

This paper cites Fundamental Inverse Semigroups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Fundamental Inverse Semigroups

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.333578Z

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Observation b3ff6fb0-467e-4b33-9936-5643bab28dd7 · outbound

This paper cites Simple contracted semigroup algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Simple contracted semigroup algebras

Reference 24

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Observation a23e132a-4651-4590-8d82-9f40d997ff45 · outbound

This paper cites C ∗-algebras and self-similar groups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids C ∗-algebras and self-similar groups

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.516798Z

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Observation 8686c723-aab5-466e-94f4-5b58783fd12c · outbound

This paper cites Growth of étale groupoids and simple alge- bras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Growth of étale groupoids and simple alge- bras

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:07.611165Z

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Observation 353d864b-6c4b-474e-adaa-18637d18bf3f · outbound

This paper cites Mathematical surveys and monographs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Mathematical surveys and monographs

Reference 27

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Observation 8592e671-57f6-49c6-b857-e5d5eb1c2631 · outbound

This paper cites an unresolved cited work.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Unresolved cited work

Reference 28

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Observation 76915ad4-259c-48db-bc94-780261dfbb2d · outbound

This paper cites Graph inverse semigroups, groupoids and theirC∗- algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Graph inverse semigroups, groupoids and theirC∗- algebras

Reference 29

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Observation 56bb8b05-2d12-4bbd-b597-ae35b4d4e458 · outbound

This paper cites Kumjian-Pask algebras of higher-rank graphs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Kumjian-Pask algebras of higher-rank graphs

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.040559Z

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Observation 6c5f7c70-db8b-4dfa-b0e3-17c1ccf85d0e · outbound

This paper cites an unresolved cited work.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Unresolved cited work

Reference 31

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Observation 72295fd7-8c72-474f-8ee0-09e4ffb157c0 · outbound

This paper cites Simplicity ofC ∗-algebras associated to higher-rank graphs.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Simplicity ofC ∗-algebras associated to higher-rank graphs

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.309717Z

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Observation 2020fd23-94fc-45cf-864a-9d0e8e06f0eb · outbound

This paper cites A groupoid approach to discrete inverse semigroup algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids A groupoid approach to discrete inverse semigroup algebras

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.450053Z

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Observation 7c728ba4-2258-4c9d-b8f2-f3f2c959d12a · outbound

This paper cites OnthesimplicityofNekrashevych algebras of contracting self-similar groups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids OnthesimplicityofNekrashevych algebras of contracting self-similar groups

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.573700Z

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Observation b26365f1-1dfa-470a-b5da-280fdb7a7487 · outbound

This paper cites Simplicity of inverse semigroup and étale groupoid algebras.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Simplicity of inverse semigroup and étale groupoid algebras

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.678127Z

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Observation cbb9360d-b53c-4eb2-808f-9fd75a419c7d · outbound

This paper cites Congruence-free inverse semigroups.

Simplicity of algebras and $C^*$-algebras of self-similar groupoids Congruence-free inverse semigroups

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T08:43:08.823468Z

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