Non-unitary representations, Baum-Connes morphism and unconditional completions

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dc.creatorGomez-Aparicio, Maria-Paula
dc.date2008-04-28
dc.date.accessioned2026-07-07T09:35:39Z
dc.date.available2026-07-07T09:35:39Z
dc.descriptionWe show that the Baum-Connes morphism twisted by a non-unitary representation, defined in [GA08], is an isomorphism for a large class of groups satisfying the Baum-Connes conjecture. Such class contains all the real semi-simple Lie groups, all hyperbolic groups and many infinite discret groups having Kazhdan's property (T). We define a tensorisation by a non-unitary finite dimensional representation on the left handside of the Baum-Connes morphism and we show that its analogue in K-theory must be defined on the K-theory of the twisted group algebras introduced in [GA07b].
dc.description29 pages, in french
dc.identifierhttps://arxiv.org/abs/0804.4454
dc.identifierhttp://arxiv.org/abs/0804.4454
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159900
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject22D12, 22D15, 46L80, 19K35
dc.titleNon-unitary representations, Baum-Connes morphism and unconditional completions
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