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dc.contributor.authorClark, Lisa Orloff
dc.contributor.authorExel, Ruy
dc.contributor.authorPardo, E.
dc.contributor.authorSims, Aidan
dc.contributor.authorStarling, Charles
dc.contributor.otherMatemáticasen_US
dc.date.accessioned2018-06-18T07:05:45Z
dc.date.available2018-06-18T07:05:45Z
dc.date.issued2018-06-12
dc.identifier.urihttp://hdl.handle.net/10498/20604
dc.description.abstractWe prove a uniqueness theorem and give a characterization of simplicity for Steinberg algebras associated to non-Hausdorff ample groupoids. We also prove a uniqueness theorem and give a characterization of simplicity for the C*-algebra associated to non-Hausdorff ́etale groupoids. Then we show how our results apply in the setting of tight representations of inverse semigroups, groups acting on graphs, and self-similar actions. In particular, we show that C*-algebra and the complex Steinberg algebra of the self-similar action of the Grigorchuk group are simple but the Steinberg algebra with coefficients in Z_2 is not simple.en_US
dc.description.sponsorshipThe first named author was partially supported by Marsden grant 15-UOO-071 from the Royal Society of New Zealand. The second named author was partially supported by CNPq. The third named author was partially supported by PAI III grant FQM-298 of the Junta de Andaluc ́ıa, and by the DGI-MINECO and European Regional Development Fund, jointly, through grants MTM2014-53644-P and MTM2017- 83487-P. The fourth named author was partially supported by the Australian Research Council grant DP150101595. The fifth named author was partially supported by a Carleton University internal research grant.en_US
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dc.language.isoengen_US
dc.publisherarXiven_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectGroupoid C*-algebraen_US
dc.subjectSteinberg algebraen_US
dc.subjectSelf-similar graph algebraen_US
dc.titleSimplicity of algebras associated to non-hausdorff groupoidsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.identifier.doi10.1090/tran/7840


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