Higher-rank graphs and their C*-algebras

Simple item page
dc.creatorRaeburn, Iain
dc.creatorSims, Aidan
dc.creatorYeend, Trent
dc.date2001-07-31
dc.date.accessioned2026-07-07T04:42:47Z
dc.date.available2026-07-07T04:42:47Z
dc.descriptionWe consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz-Krieger algebras. We describe a variant of the Cuntz-Krieger relations which applies to graphs with sources, and describe a local convexity condition which characterises the higher-rank graphs that admit a nontrivial Cuntz-Krieger family. We then prove versions of the uniqueness theorems and classifications of ideals for the C*-algebras generated by Cuntz-Krieger families.
dc.identifierhttps://arxiv.org/abs/math/0107222
dc.identifierhttp://arxiv.org/abs/math/0107222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61935
dc.subjectOperator Algebras
dc.subjectCombinatorics
dc.subject46L05
dc.titleHigher-rank graphs and their C*-algebras
dc.typetext

Files

Collections

arXiv