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An overview on self-similar graphs, their generalizations, and their associated algebras.

dc.contributor.authorPardo Espino, Enrique 
dc.contributor.otherMatemáticases_ES
dc.date.accessioned2025-10-17T10:24:54Z
dc.date.available2025-10-17T10:24:54Z
dc.date.issued2025
dc.identifier.urihttp://hdl.handle.net/10498/37531
dc.description.abstractIn these notes, we introduce the concept of self-similar graph, associated with groups acting on graphs. We define the corresponding C*-algebra using different complementary approaches, to understand its basic properties. We also analyze various generalizations that appear in the literature and, in particular, review the relationship of this construction with Zappa-Szép products. Finally, we present very recent results on homology and K-theory for these algebras.es_ES
dc.description.sponsorshipThe author was partially supported by PAIDI grant FQM-298 of the Junta de Andalucía, by the Spanish State Research Agency (through grant number PID2023-147110NB-I00), and by the grant ``Operator Theory: an interdisciplinary approach'', reference ProyExcel 00780 of the Plan Andaluz de Investigación, Desarrollo e Innovación (PAIDI 2020), Consejería de Universidad, Investigación e Innovación of the Junta de Andalucía.es_ES
dc.formatapplication/pdfes_ES
dc.language.isoenges_ES
dc.publisherRepositorio Científico arXives_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourcearXiv:2509.18702v1es_ES
dc.subjectSelf-similar groupes_ES
dc.subjectNekrashevych algebrases_ES
dc.subjectKatsura algebrases_ES
dc.subjectSelf-similar graphes_ES
dc.subjectInverse semigroupes_ES
dc.subjectTight groupoides_ES
dc.subjectgroupoid C*-algebraes_ES
dc.subjectSteinberg algebraes_ES
dc.subjectk-graphes_ES
dc.subjectTwisted groupoides_ES
dc.subjectLeft cancellative small categoryes_ES
dc.subjectZappa-Szép productes_ES
dc.subjectGroupoid homologyes_ES
dc.subjectK-theoryes_ES
dc.titleAn overview on self-similar graphs, their generalizations, and their associated algebras.es_ES
dc.typebook partes_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.48550/arXiv.2509.18702
dc.type.hasVersionSMURes_ES


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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