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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31869
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dc.contributor.authorRennie, Adamen
dc.contributor.authorRobertson, Daviden
dc.contributor.authorSims, Aidanen
dc.date.accessioned2021-11-10T22:11:45Z-
dc.date.available2021-11-10T22:11:45Z-
dc.date.issued2017-06-
dc.identifier.citationJournal of Topology and Analysis, 9(2), p. 297-327en
dc.identifier.issn1793-7167en
dc.identifier.issn1793-5253en
dc.identifier.urihttps://hdl.handle.net/1959.11/31869-
dc.description.abstract<p>For bi-Hilbertian <i>A</i>-bimodules, in the sense of Kajiwara-Pinzari-Watatani, we construct a Kasparov module representing the extension class defining the Cuntz-Pimsner algebra. The construction utilises a singular expectation which is defined using the <i>C</i>*-module version of the Jones index for bi-Hilbertian bimodules. The Jones index data also determines a novel quasi-free dynamics and KMS states on these Cuntz-Pimsner algebras.</p>en
dc.languageenen
dc.publisherWorld Scientific Publishing Co Pte Ltden
dc.relation.ispartofJournal of Topology and Analysisen
dc.titleThe extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodulesen
dc.typeJournal Articleen
dc.identifier.doi10.1142/S1793525317500108en
local.contributor.firstnameAdamen
local.contributor.firstnameDaviden
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.placeSingaporeen
local.format.startpage297en
local.format.endpage327en
local.peerreviewedYesen
local.identifier.volume9en
local.identifier.issue2en
local.contributor.lastnameRennieen
local.contributor.lastnameRobertsonen
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:1959.11/31869en
local.date.onlineversion2016-04-11-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleThe extension class and KMS states for Cuntz-Pimsner algebras of some bi-Hilbertian bimodulesen
local.relation.fundingsourcenoteThis research was supported by the Australian Research Council.en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorRennie, Adamen
local.search.authorRobertson, Daviden
local.search.authorSims, Aidanen
local.uneassociationNoen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000398182600005en
local.year.available2016en
local.year.published2017en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/4091e729-4143-46ac-af60-a80c5cf35999en
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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