Paper Citation Record · LEDGER

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras

As of 9 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.27691.

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pith.paper-citation-record.v1
2607.27691 v1

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measured 41 of 41 reference resolution

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measured 41 of 41 standing notices

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41 of 41 outbound references displayed

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Outbound references

Observation fb8437b5-439c-4ed2-a011-e7937b2df02a · outbound

This paper cites A gauge invariant uniqueness theorem for corners of k -graph algebras, Rocky Mountain J.\ Math, 38 (2008), 1887--1907.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras A gauge invariant uniqueness theorem for corners of k -graph algebras, Rocky Mountain J.\ Math, 38 (2008), 1887--1907

Reference 1

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Observation 7dcb37f7-c39e-4cdd-9436-331a10894899 · outbound

This paper cites 6 (2000), 307--324.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras 6 (2000), 307--324

Reference 2

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Observation 6c258266-ed39-4e82-9876-9bcaf14102a5 · outbound

This paper cites The nuclear dimension of O_ -stable C^* -algebras, Adv.\ Math., 401 (2022), Paper No.\ 108250, 51 pp.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras The nuclear dimension of O_ -stable C^* -algebras, Adv.\ Math., 401 (2022), Paper No.\ 108250, 51 pp

Reference 3

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Observation 3bba4ea4-962b-42b3-9911-694f866ff680 · outbound

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Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Unresolved cited work

Reference 4

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Observation a0ee7c9f-c58a-42d1-90ec-e44ead7ec092 · outbound

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Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Unresolved cited work

Reference 5

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Observation a8137359-8389-48b7-a9f7-961cc183772c · outbound

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Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Unresolved cited work

Reference 6

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Observation 6d92f9fe-b81f-4dd6-aa40-f0297bdde33d · outbound

This paper cites AF-embeddability of 2 -graph algebras and quasidiagonality of k -graph algebras, J.\ Funct.\ Anal., 271 (2016), 958--991.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras AF-embeddability of 2 -graph algebras and quasidiagonality of k -graph algebras, J.\ Funct.\ Anal., 271 (2016), 958--991

Reference 7

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Observation afca36e0-15e2-4e86-8d41-4d7a0342d3f0 · outbound

This paper cites Periodicity in rank 2 graph algebras, Canad.\ J.\ Math., 61 (2009), 1239--1261.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Periodicity in rank 2 graph algebras, Canad.\ J.\ Math., 61 (2009), 1239--1261

Reference 8

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Observation 6129f26d-95d4-44a6-8b48-4f107f086a1b · outbound

This paper cites Amplified graph C^* -algebras, M u nster J.\ Math., 5 (2012), 121--150.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Amplified graph C^* -algebras, M u nster J.\ Math., 5 (2012), 121--150

Reference 9

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Observation d0e75b57-659b-4273-9fac-912d2a99fb41 · outbound

This paper cites When is the C untz- K rieger algebra of a higher-rank graph approximately finite-dimensional? , J.\ Funct.\ Anal., 263 (2012), 183--215.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras When is the C untz- K rieger algebra of a higher-rank graph approximately finite-dimensional? , J.\ Funct.\ Anal., 263 (2012), 183--215

Reference 10

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Observation 467cb55c-ef60-42e9-ab9a-f555aedf90f8 · outbound

This paper cites Nuclear dimension of extensions of O_ -stable algebras, J.\ Operator Theory, 88 (2022), 171--187.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Nuclear dimension of extensions of O_ -stable algebras, J.\ Operator Theory, 88 (2022), 171--187

Reference 11

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Observation a60dc2d8-1240-4e5c-8781-b746125be282 · outbound

This paper cites $\mathcal{Z}$-stable Graph Algebras.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras $\mathcal{Z}$-stable Graph Algebras

Reference 12

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Observation 9933b6af-f7f3-4d3f-ba55-929d2cd727cb · outbound

This paper cites Nuclear dimension of graph C^* -algebras with condition (K), Proc.\ Amer.\ Math.\ Soc., 152 (2024), 4421--4435.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Nuclear dimension of graph C^* -algebras with condition (K), Proc.\ Amer.\ Math.\ Soc., 152 (2024), 4421--4435

Reference 13

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Observation ae9c3a49-0310-4d45-ad75-b05452d954f7 · outbound

This paper cites Hazlewood, I.\ Raeburn, A.\ Sims, and S.B.G.\ Webster.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Hazlewood, I.\ Raeburn, A.\ Sims, and S.B.G.\ Webster

Reference 14

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Observation 3842ec95-5878-4f25-8392-cf55ee920550 · outbound

This paper cites Purely Infinite Cuntz-Krieger Algebras of Directed Graphs, Bull.\ London Math.\ Soc.\ 35 (2003), 689--696.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Purely Infinite Cuntz-Krieger Algebras of Directed Graphs, Bull.\ London Math.\ Soc.\ 35 (2003), 689--696

Reference 15

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Observation 1a8fc4fd-c34d-470c-b8b3-22c8890f5e2f · outbound

This paper cites Jeong , G.H.\ Park and D.Y.\ Shin.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Jeong , G.H.\ Park and D.Y.\ Shin

Reference 16

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Observation bbaf3e5f-a994-40db-bedb-7369ccad2cff · outbound

This paper cites Aperiodicity and primitive ideals of row-finite k -graphs, Int.\ J.\ Math., 25 (2014), 1450022 (25 pages).

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Aperiodicity and primitive ideals of row-finite k -graphs, Int.\ J.\ Math., 25 (2014), 1450022 (25 pages)

Reference 17

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Observation 1518c52a-7d64-43d4-9f67-f2cd2a777d16 · outbound

This paper cites Non-simple purely infinite C^* -algebras, Amer.\ J.\ Math.\ 122 (2000), 637--666.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Non-simple purely infinite C^* -algebras, Amer.\ J.\ Math.\ 122 (2000), 637--666

Reference 18

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Observation 959dbf27-e708-4d05-9024-6a367ab66ba5 · outbound

This paper cites Higher rank graph C^* -algebras, New York J.\ Math., 6 (2000), 1--20.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Higher rank graph C^* -algebras, New York J.\ Math., 6 (2000), 1--20

Reference 19

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Observation 0a4944f4-0411-4132-87f1-7a3a8e557ca2 · outbound

This paper cites Cuntz-Krieger algebras of directed graphs, Pacific J.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Cuntz-Krieger algebras of directed graphs, Pacific J

Reference 20

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Observation 8f4e7014-f134-4a09-b78d-7d93aabf7ee2 · outbound

This paper cites Graphs, groupoids, and Cuntz--Krieger algebras, J.\ Funct.\ Anal., 144 (1997), 505--541.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Graphs, groupoids, and Cuntz--Krieger algebras, J.\ Funct.\ Anal., 144 (1997), 505--541

Reference 21

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Observation 92ef546e-3274-4f6c-bbec-99fc2e4537a2 · outbound

This paper cites On the K -theory of twisted higher--rank graph C^* --algebras, J.\ Math.\ Anal.\ Appl., 401 (2013), 104---113.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras On the K -theory of twisted higher--rank graph C^* --algebras, J.\ Math.\ Anal.\ Appl., 401 (2013), 104---113

Reference 22

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Observation f36e979e-3b07-491d-ae9b-53e8f56a57ed · outbound

This paper cites Erratum to ``Higher-rank graph C^* -algebras'', New York J.\ Math., 30 (2024), 1029--1031.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Erratum to ``Higher-rank graph C^* -algebras'', New York J.\ Math., 30 (2024), 1029--1031

Reference 23

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Observation 75c13e58-433f-4229-81b6-208c99952c65 · outbound

This paper cites Simplicity of 2 -graph algebras associated to dynamical systems, Bull.\ Malaysian Math.\ Sci.\ Soc., 33 (2010), 177--196.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Simplicity of 2 -graph algebras associated to dynamical systems, Bull.\ Malaysian Math.\ Sci.\ Soc., 33 (2010), 177--196

Reference 24

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Observation 72727f58-a6cf-4030-bde2-d43f8cd807fd · outbound

This paper cites Rank-Two Graphs whose C^* -algebras are direct limits of Circle Algebras, J.\ Funct.\ Anal., 239 (2006), 137--178.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Rank-Two Graphs whose C^* -algebras are direct limits of Circle Algebras, J.\ Funct.\ Anal., 239 (2006), 137--178

Reference 25

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Observation a888c8a2-2a4a-4498-8789-8cb5a0a41a0c · outbound

This paper cites Real rank and topological dimension of higher rank graph algebras, Indiana Univ.\ Math.\ J., 66 (2017), 2137--2168.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Real rank and topological dimension of higher rank graph algebras, Indiana Univ.\ Math.\ J., 66 (2017), 2137--2168

Reference 26

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Observation ce557592-1657-49e7-a76a-cd180fde680d · outbound

This paper cites Unbounded quasitraces, stable finiteness and pure infiniteness, Houston J.\ Math., 45 (2019), 763--814.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Unbounded quasitraces, stable finiteness and pure infiniteness, Houston J.\ Math., 45 (2019), 763--814

Reference 27

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Observation 5e436dd7-e228-4c8e-a242-ed1b1467895d · outbound

This paper cites Structure theory and stable rank for C^* -algebras of finite higher-rank graphs, Proc.\ Edinb.\ Math.\ Soc.\ (2), 64 (2021), 822--847.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Structure theory and stable rank for C^* -algebras of finite higher-rank graphs, Proc.\ Edinb.\ Math.\ Soc.\ (2), 64 (2021), 822--847

Reference 28

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Observation aefb18fd-90ef-4311-8004-68a6eb81c72d · outbound

This paper cites The -function in operator algebras, J.\ Operator Theory, 26 (1991), 345--381.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras The -function in operator algebras, J.\ Operator Theory, 26 (1991), 345--381

Reference 29

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Observation e834fa33-4576-48c2-8d04-1431feb97585 · outbound

This paper cites Purely infinite C^* -algebras of real rank zero, J.\ Reine Angew.\ Math., 613, (2007), 51--73.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Purely infinite C^* -algebras of real rank zero, J.\ Reine Angew.\ Math., 613, (2007), 51--73

Reference 30

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Observation f64bb247-c5e8-474f-873f-ee5e3a856e93 · outbound

This paper cites C^* -algebras and their automorphism groups, London Math.\ Soc.\ Monogr., 14, Academic Press, London, 1979.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras C^* -algebras and their automorphism groups, London Math.\ Soc.\ Monogr., 14, Academic Press, London, 1979

Reference 31

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Observation e721d6c8-8a59-4331-8c27-f5c1d8d17f45 · outbound

This paper cites Chain conditions for graph C^* -algebras, Forum Math., 32 (2020), 491--500.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Chain conditions for graph C^* -algebras, Forum Math., 32 (2020), 491--500

Reference 32

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Observation 5eb68055-06d6-4f54-a4b2-03515f8242b1 · outbound

This paper cites On finiteness properties of Noetherian (Artinian) C^* -algebras, Linear and Multilinear Algebra, 70 (2022), 419--430.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras On finiteness properties of Noetherian (Artinian) C^* -algebras, Linear and Multilinear Algebra, 70 (2022), 419--430

Reference 33

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Observation b0623ca0-9ec5-42e3-adc1-ad93348b5a80 · outbound

This paper cites Higher-rank graphs and their C^* -algebras , Proc.\ Edinb.\ Math.\ Soc.\ (2), 46 (2003), 99--115.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Higher-rank graphs and their C^* -algebras , Proc.\ Edinb.\ Math.\ Soc.\ (2), 46 (2003), 99--115

Reference 34

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Observation 8c59652e-bd93-43bc-831e-f58774aa510f · outbound

This paper cites Simplicity of C^ -algebras associated to higher-rank graphs , Bull.\ Lond.\ Math.\ Soc., 39 (2007), 337--344.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Simplicity of C^ -algebras associated to higher-rank graphs , Bull.\ Lond.\ Math.\ Soc., 39 (2007), 337--344

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.377557Z

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Observation 97bbb659-7770-465e-9069-24b931661e0c · outbound

This paper cites UCT-Kirchberg algebras have nuclear dimension one, Adv.\ Math., 279 (2015), 1--28.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras UCT-Kirchberg algebras have nuclear dimension one, Adv.\ Math., 279 (2015), 1--28

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.432080Z

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Observation 20158d89-9d2b-4e75-b352-824f94d4b6c1 · outbound

This paper cites The nuclear dimension of graph C^* -algebras, Adv.\ Math., 272 (2015), 96--123.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras The nuclear dimension of graph C^* -algebras, Adv.\ Math., 272 (2015), 96--123

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.530861Z

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Observation 67ca5d88-138f-4d35-a169-928df2b33fe3 · outbound

This paper cites Gauge-invariant ideals in the C^* -algebras of finitely aligned higher-rank graphs , Canad.\ J.\ Math., 58(2006), 1268--1290.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Gauge-invariant ideals in the C^* -algebras of finitely aligned higher-rank graphs , Canad.\ J.\ Math., 58(2006), 1268--1290

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.714990Z

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Observation df061f6a-8e04-4362-9d66-829967d9ba6c · outbound

This paper cites On the nuclear dimension of strongly purely infinite C^* -algebras, Adv.\ Math., 306 (2017), 1262--1268.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras On the nuclear dimension of strongly purely infinite C^* -algebras, Adv.\ Math., 306 (2017), 1262--1268

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.820401Z

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Observation 83fac3d5-ab8a-4334-9806-34599f720aa2 · outbound

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Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:21.990403Z

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Observation 6bfc0003-4925-4dba-85bf-45dad4dddcf1 · outbound

This paper cites The nuclear dimension of C^* -algebras, Adv.\ Math., 224 (2010), 461--498.

Nuclear dimension, pure infiniteness and real rank for higher rank graph $C^*$-algebras The nuclear dimension of C^* -algebras, Adv.\ Math., 224 (2010), 461--498

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-01T03:23:22.102566Z

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