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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/52458
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dc.contributor.authorRobertson, Daviden
dc.contributor.authorSzymanski, Wojciechen
dc.date.accessioned2022-06-09T23:33:49Z-
dc.date.available2022-06-09T23:33:49Z-
dc.date.issued2011-
dc.identifier.citationIllinois Journal of Mathematics, 55(3), p. 845-870en
dc.identifier.issn1945-6581en
dc.identifier.issn0019-2082en
dc.identifier.urihttps://hdl.handle.net/1959.11/52458-
dc.description.abstractThe structure of the <i>C</i><sup>∗</sup>-algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of certain <i>C</i><sup>∗</sup>-correspondences and <i>C</i><sup>∗</sup>-algebras of certain labelled graphs. In order to achieve this, categories of labelled graphs and <i>C</i><sup>∗</sup>-correspondences are studied. A functor from labelled graphs to <i>C</i><sup>∗</sup>-correspondences is constructed, such that the corresponding associated <i>C</i><sup>∗</sup>-algebras are isomorphic. Furthermore, it is shown that <i>C</i><sup>∗</sup>-correspondences for the mirror quantum spheres arise via a general construction of restricted direct sum.en
dc.languageenen
dc.publisherDuke University Pressen
dc.relation.ispartofIllinois Journal of Mathematicsen
dc.titleC*-algebras associated to C*-correspondences and applications to mirror quantum spheresen
dc.typeJournal Articleen
dc.identifier.doi10.1215/ijm/1369841788en
dcterms.accessRightsBronzeen
local.contributor.firstnameDaviden
local.contributor.firstnameWojciechen
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 States of Americaen
local.format.startpage845en
local.format.endpage870en
local.peerreviewedYesen
local.identifier.volume55en
local.identifier.issue3en
local.access.fulltextYesen
local.contributor.lastnameRobertsonen
local.contributor.lastnameSzymanskien
dc.identifier.staffune-id:drober54en
local.profile.orcid0000-0002-0425-4775en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:1959.11/52458en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleC*-algebras associated to C*-correspondences and applications to mirror quantum spheresen
local.relation.fundingsourcenoteThis work has been supported in part by: the FNU Rammebevilling grant ‘Operator algebras and applications' (2009–2011), the Marie Curie Research Training Network MRTN-CT-2006-031962 EU-NCG, the NordForsk Research Network ‘Operator algebra and dynamics', the Marie Curie International Staff Exchange Scheme PIRSES-GA-2008-230836, and the Polish Government grant N201 1770 33.en
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.search.authorRobertson, Daviden
local.search.authorSzymanski, Wojciechen
local.uneassociationNoen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000208745600007en
local.year.published2011en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/46f2bc38-2c6e-4eb6-876c-b245802b2b3fen
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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