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C*-algebras of self-similar graphs over arbitrary graphs

dc.contributor.authorExel, Ruy
dc.contributor.authorPardo Espino, Enrique 
dc.contributor.authorStarling, Charles
dc.contributor.otherMatemáticasen_US
dc.date.accessioned2018-07-09T09:51:07Z
dc.date.available2018-07-09T09:51:07Z
dc.date.issued2018-07-05
dc.identifier.urihttp://hdl.handle.net/10498/20636
dc.description.abstractIn this note we extend the construction of a C*-algebra associated to a self- similar graph to the case of arbitrary countable graphs. We reduce the problem to the row-finite case with no sources, by using a desingularization process. Finally, we characterize simplicity in this case.en_US
dc.description.sponsorshipThe first-named author was partially supported by CNPq. The third named author was partially supported by PAI III grant FQM-298 of the Junta de Andalucía, and by the DGI-MINECO and European Regional Development Fund, jointly, through grants MTM2014-53644-P and MTM2017-83487-P. The third named author was partially supported by a Carleton University internal research grant.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherarXiven_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectSelf-similar graphen_US
dc.subjectinverse semigroupen_US
dc.subjecttight representationen_US
dc.subjecttight groupoiden_US
dc.subjectgroupoid C*-algebraen_US
dc.titleC*-algebras of self-similar graphs over arbitrary graphsen_US
dc.typejournal articleen_US
dc.rights.accessRightsopen access


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional