Coverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces

Simple item page
dc.creatorDeicke, Klaus
dc.creatorPask, David
dc.creatorRaeburn, Iain
dc.date2002-01-07
dc.date.accessioned2026-07-07T04:45:41Z
dc.date.available2026-07-07T04:45:41Z
dc.descriptionThe graph C*-algebra of a directed graph E is the universal C*-algebra generated by a family of partial isometries satisfying relations which reflect the path structure of E. In the first part of this paper we consider coverings of directed graphs: morphisms p:F->E which are local isomorphisms. We show that the graph algebra C*(F) can be recovered from C*(E) as a crossed product by a coaction of a homogeneous space associated to the fundamental group π_1 (E). These crossed products provide a good model for a general theory of crossed products by homogeneous spaces. The second part of the paper is devoted to building a framework for studying crossed products by homogeneous spaces using Rieffel's theory of proper actions.
dc.description15 pages with no figures
dc.identifierhttps://arxiv.org/abs/math/0201033
dc.identifierhttp://arxiv.org/abs/math/0201033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63045
dc.subjectOperator Algebras
dc.subject46L55
dc.titleCoverings of Directed Graphs and Crossed Products of C*-algebras by Coactions of Homogeneous Spaces
dc.typetext

Files

Collections

arXiv