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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31872
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dc.contributor.authorRennie, Adamen
dc.contributor.authorRobertson, Daviden
dc.contributor.authorSims, Aidanen
dc.date.accessioned2021-11-10T23:37:26Z-
dc.date.available2021-11-10T23:37:26Z-
dc.date.issued2017-11-
dc.identifier.citationMathematical Proceedings of the Cambridge Philosophical Society, 163(3), p. 561-580en
dc.identifier.issn1469-8064en
dc.identifier.issn0305-0041en
dc.identifier.urihttps://hdl.handle.net/1959.11/31872-
dc.description.abstract<p>Consider a product system over the positive cone of a quasi-lattice ordered group. We construct a Fell bundle over an associated groupoid so that the cross-sectional algebra of the bundle is isomorphic to the Nica-Toeplitz algebra of the product system. Under the additional hypothesis that the left actions in the product system are implemented by injective homomorphisms, we show that the cross-sectional algebra of the restriction of the bundle to a natural boundary subgroupoid coincides with the Cuntz-Nica-Pimsner algebra of the product system. We apply these results to improve on existing sufficient conditions for nuclearity of the Nica-Toeplitz algebra and the Cuntz-Nica-Pimsner algebra, and for the Cuntz-Nica-Pimsner algebra to coincide with its co-universal quotient.</p>en
dc.languageenen
dc.publisherCambridge University Pressen
dc.relation.ispartofMathematical Proceedings of the Cambridge Philosophical Societyen
dc.titleGroupoid Fell bundles for product systems over quasi-lattice ordered groupsen
dc.typeJournal Articleen
dc.identifier.doi10.1017/S0305004117000202en
local.contributor.firstnameAdamen
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.grant.numberDP120100507en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.publisher.placeUnited Kingdomen
local.format.startpage561en
local.format.endpage580en
local.peerreviewedYesen
local.identifier.volume163en
local.identifier.issue3en
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:1959.11/31872en
local.date.onlineversion2017-03-16-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleGroupoid Fell bundles for product systems over quasi-lattice ordered groupsen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP120100507en
local.search.authorRennie, Adamen
local.search.authorRobertson, Daviden
local.search.authorSims, Aidanen
local.uneassociationNoen
local.atsiresearchNoen
local.sensitive.culturalNoen
local.identifier.wosid000412302200007en
local.year.available2017en
local.year.published2017en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/38d06041-9c89-433c-b759-10ed65de7ea8en
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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