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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31862
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dc.contributor.authorRobertson, Daviden
dc.contributor.authorRout, Jamesen
dc.contributor.authorSims, Aidanen
dc.date.accessioned2021-11-10T04:56:00Z-
dc.date.available2021-11-10T04:56:00Z-
dc.date.issued2018-01-
dc.identifier.citationBulletin of the Malaysian Mathematical Sciences Society, 41(1), p. 123-157en
dc.identifier.issn2180-4206en
dc.identifier.issn0126-6705en
dc.identifier.urihttps://hdl.handle.net/1959.11/31862-
dc.description.abstract<p>We study the generalised Bunce-Deddens algebras and their Toeplitz extensions constructed by Kribs and Solel from a directed graph and a sequence ω of positive integers. We describe both of these C*-algebras in terms of novel universal properties, and prove uniqueness theorems for them; if ω determines an infinite supernatural number, then no aperiodicity hypothesis is needed in our uniqueness theorem for the generalised Bunce-Deddens algebra. We calculate the KMS states for the gauge action in the Toeplitz algebra when the underlying graph is finite. We deduce that the generalised Bunce-Deddens algebra is simple if and only if it supports exactly one KMS state, and this is equivalent to the terms in the sequence ω all being coprime with the period of the underlying graph.</p>en
dc.languageenen
dc.publisherSpringeren
dc.relation.ispartofBulletin of the Malaysian Mathematical Sciences Societyen
dc.titleKMS States on Generalised Bunce-Deddens Algebras and their Toeplitz Extensionsen
dc.typeJournal Articleen
dc.identifier.doi10.1007/s40840-015-0244-8en
local.contributor.firstnameDaviden
local.contributor.firstnameJamesen
local.contributor.firstnameAidanen
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.placeGermanyen
local.format.startpage123en
local.format.endpage157en
local.peerreviewedYesen
local.identifier.volume41en
local.identifier.issue1en
local.contributor.lastnameRobertsonen
local.contributor.lastnameRouten
local.contributor.lastnameSimsen
dc.identifier.staffune-id:drober54en
local.profile.orcid0000-0002-0425-4775en
local.profile.roleauthoren
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/31862en
local.date.onlineversion2015-11-25-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleKMS States on Generalised Bunce-Deddens Algebras and their Toeplitz Extensionsen
local.relation.fundingsourcenoteThis research was supported by the Australian Research Council.en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorRobertson, Daviden
local.search.authorRout, Jamesen
local.search.authorSims, Aidanen
local.uneassociationNoen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.year.available2015en
local.year.published2018en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/afcd1280-d155-479b-acce-61df38c0ac1aen
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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