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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/52461
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dc.contributor.authorRobertson, Daviden
dc.contributor.authorSims, Aidanen
dc.date.accessioned2022-06-09T23:59:41Z-
dc.date.available2022-06-09T23:59:41Z-
dc.date.issued2007-04-
dc.identifier.citationBulletin of the London Mathematical Society, 39(2), p. 337-344en
dc.identifier.issn1469-2120en
dc.identifier.issn0024-6093en
dc.identifier.urihttps://hdl.handle.net/1959.11/52461-
dc.description.abstractWe prove that if Λ is a row-finite k-graph with no sources, then the associated C*-algebra is simple if and only if Λ is cofinal and satisfies Kumjian and Pask's aperiodicity condition, known as Condition (A). We prove that the aperiodicity condition is equivalent to a suitably modified version of Robertson and Steger's original nonperiodicity condition (H3), which in particular involves only finite paths. We also characterise both cofinality and aperiodicity of Λ in terms of ideals in <i>C</i>*(Λ).en
dc.languageenen
dc.publisherWiley-Blackwell Publishing Ltden
dc.relation.ispartofBulletin of the London Mathematical Societyen
dc.titleSimplicity of C*-algebras associated to higher-rank graphsen
dc.typeJournal Articleen
dc.identifier.doi10.1112/blms/bdm006en
local.contributor.firstnameDaviden
local.contributor.firstnameAidanen
local.relation.isfundedbyARCen
local.profile.schoolSchool of Science and Technologyen
local.profile.emaildrober54@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeUnited Kingdomen
local.format.startpage337en
local.format.endpage344en
local.peerreviewedYesen
local.identifier.volume39en
local.identifier.issue2en
local.contributor.lastnameRobertsonen
local.contributor.lastnameSimsen
dc.identifier.staffune-id:drober54en
local.profile.orcid0000-0002-0425-4775en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/52461en
local.date.onlineversion2007-04-02-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleSimplicity of C*-algebras associated to higher-rank graphsen
local.relation.fundingsourcenoteThe second author was supported by the Australian Research Council.en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorRobertson, Daviden
local.search.authorSims, Aidanen
local.uneassociationNoen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000247052300024en
local.year.available2007en
local.year.published2007en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/93f50169-9c80-4af7-8437-057efa39b97ben
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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