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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/31860
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dc.contributor.authorRennie, Adamen
dc.contributor.authorRobertson, Daviden
dc.contributor.authorSims, Aidanen
dc.date.accessioned2021-11-10T03:09:51Z-
dc.date.available2021-11-10T03:09:51Z-
dc.date.issued2019-04-30-
dc.identifier.citationAdvances in Mathematics, v.347, p. 1112-1172en
dc.identifier.issn1090-2082en
dc.identifier.issn0001-8708en
dc.identifier.urihttps://hdl.handle.net/1959.11/31860-
dc.description.abstract<p>We present a new approach to Poincaré duality for Cuntz-Pimsner algebras. We provide sufficient conditions under which Poincaré self-duality for the coefficient algebra of a Hilbert bimodule lifts to Poincaré self-duality for the associated Cuntz-Pimsner algebra.<br/>With these conditions in hand, we can constructively produce fundamental classes in <i>K</i>-theory for a wide range of examples. We can also produce <i>K</i>-homology fundamental classes for the important examples of Cuntz-Krieger algebras (following Kaminker-Putnam) and crossed products of manifolds by isometries, and their non-commutative analogues.</p>en
dc.languageenen
dc.publisherAcademic Pressen
dc.relation.ispartofAdvances in Mathematicsen
dc.titlePoincaré duality for Cuntz-Pimsner algebrasen
dc.typeJournal Articleen
dc.identifier.doi10.1016/j.aim.2019.02.032en
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.startpage1112en
local.format.endpage1172en
local.peerreviewedYesen
local.identifier.volume347en
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:1959.11/31860en
local.date.onlineversion2019-03-15-
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitlePoincaré duality for Cuntz-Pimsner algebrasen
local.relation.fundingsourcenoteMATRIX@Melbourne research program 'Refining C∗-algebraic invariants for dynamics using KK-theory', July 18–29 2016en
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.year.available2019en
local.year.published2019en
local.fileurl.closedpublishedhttps://rune.une.edu.au/web/retrieve/020f7c45-4133-453f-89c0-5ba6d8646769en
local.subject.for2020490408 Operator algebras and functional analysisen
local.subject.seo2020280118 Expanding knowledge in the mathematical sciencesen
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