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A Mackey-analogy-based Proof of the Connes-Kasparov Isomorphism for Real Reductive Groups

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
hal.structure.identifierInstitut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG]
dc.contributor.authorAfgoustidis, Alexandre
dc.date.accessioned2018-02-16T08:55:35Z
dc.date.available2018-02-16T08:55:35Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17395
dc.language.isoenen
dc.subjectHigson-Mackey analogyen
dc.subjectTempered representationsen
dc.subjectLie group contractionsen
dc.subjectReductive Lie groupsen
dc.subjectBaum-Connes (Connes-Kasparov) isomorphismen
dc.subjectGroup C*-algebrasen
dc.subject.ddc512en
dc.titleA Mackey-analogy-based Proof of the Connes-Kasparov Isomorphism for Real Reductive Groupsen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe give a new representation-theory based proof of the Connes-Kasparov conjecture for the K-theory of reduced C*-algebras of real reductive Lie groups. Our main tool is a natural correspondence between the tempered representation theory of such a group and that of its Cartan motion group, a semidirect product whose unitary dual and reduced C*-algebra are much more tractable. With that tool in hand, our proof is a natural adaptation of that given by Nigel Higson's work in the complex semi-simple case.en
dc.identifier.citationpages20en
dc.relation.ispartofseriestitlecahier de recherche CEREMADE- Paris-Dauphineen
dc.identifier.urlsitehttps://arxiv.org/pdf/1602.08891.pdfen
dc.subject.ddclabelAlgèbreen
dc.identifier.citationdate2016
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
hal.author.functionaut


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