Hopf-dihedral (co)homology and L-theory

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dc.authorid0000-0002-9672-6660
dc.authorid0000-0003-0925-8668
dc.contributor.authorKaygun, Atabeyen_US
dc.contributor.authorSütlü, Serkan Selçuken_US
dc.date.accessioned2018-06-20T07:44:53Z
dc.date.available2018-06-20T07:44:53Z
dc.date.issued2018-03-23
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe develop an appropriate dihedral extension of the Connes-Moscovici characteristic map for Hopf *-algebras. We then observe that one can use this extension together with the dihedral Chern character to detect non-trivial L-theory classes of a *-algebra that carry a Hopf symmetry over a Hopf *-algebra. Using our machinery we detect a previously unknown L-class of the standard Podles sphere.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationKaygun, A. & Sütlü, S. S. (2018). Hopf-dihedral (co)homology and L-theory. Journal of Noncommutative Geometry, 12(1), 69-106. doi:10.4171/JNCG/271en_US
dc.identifier.doi10.4171/JNCG/271
dc.identifier.endpage106
dc.identifier.issn1661-6952
dc.identifier.issn1661-6960
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85045641542
dc.identifier.scopusqualityQ1
dc.identifier.startpage69
dc.identifier.urihttps://hdl.handle.net/11729/1309
dc.identifier.urihttp://dx.doi.org/10.4171/JNCG/271
dc.identifier.volume12
dc.identifier.wosWOS:000428804300003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherEuropean Mathematical Socen_US
dc.relation.ispartofJournal Of Noncommutative Geometryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHopf *-algebrasen_US
dc.subjectL-theoryen_US
dc.subjectChern characteren_US
dc.subjectHopf-dihedral cohomologyen_US
dc.subjectQ-jacobi polynomialsen_US
dc.subjectCyclic homologyen_US
dc.subjectCohomologyen_US
dc.subjectAlgebrasen_US
dc.subjectSpheresen_US
dc.titleHopf-dihedral (co)homology and L-theoryen_US
dc.typeArticleen_US
dspace.entity.typePublication

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