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Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras

dc.contributor.authorExel, Ruy
dc.contributor.authorPardo Espino, Enrique 
dc.contributor.otherMatemáticasen_US
dc.date.accessioned2014-09-04T07:28:58Z
dc.date.available2014-09-04T07:28:58Z
dc.date.issued2014-09-03T00:00:00Z
dc.identifier.urihttp://hdl.handle.net/10498/16637
dc.description.abstractWe study a family of C*-algebras generalizing both Katsura algebras and certain algebras introduced by Nekrashevych in terms of self-similar groups. For these new algebras, we obtain pictures as Cuntz-Pimsner algebras, as well as groupoid C*-algebras. We apply these pictures to characterize simplicity for these algebras, among others.en_US
dc.description.sponsorshipThe first-named author was partially supported by CNPq. The second-named author was partially supported by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de Andalucía and by the DGI-MICINN and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02.en_US
dc.formatapplication/pdf
dc.language.isoengen_US
dc.publisherarXiv.orgen_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectKirchberg algebraen_US
dc.subjectKatsura algebraen_US
dc.subjectNekrashevych algebraen_US
dc.subjecttight representationen_US
dc.subjectinverse semigroupen_US
dc.subjectgroupoiden_US
dc.subjectgroupoid C*-algebraen_US
dc.titleSelf-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebrasen_US
dc.typepreprinten_US
dc.rights.accessRightsopen access
dc.identifier.doi10.1016/j.aim.2016.10.030


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