Sur la Propriété (T) tordue par un produit tensoriel

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dc.creatorGomez-Aparicio, Maria-Paula
dc.date2006-05-16
dc.date2007-02-23
dc.date.accessioned2026-07-07T07:48:11Z
dc.date.available2026-07-07T07:48:11Z
dc.descriptionIn this article, we consider tensor products of unitary representations by irreducible non-unitary finite dimensional representations of topological groups to define a property that is a twisting of Kazhdan's Property (T). We use the uniform decay of the matrix coefficients of unitary representations, to show that for most of the real semi-simple Lie groups having Kazhdan's Property (T), any finite dimensional irreducible representation $ρ$ of $G$, is isolated among representations of the form $ρ\otimesπ$, where $π$ ranges over the irreducible unitary representations, in a sense to be made precise.
dc.descriptionThis is a revised version, 21 pages, to appear in Journal of Lie Theory
dc.identifierhttps://arxiv.org/abs/math/0605450
dc.identifierhttp://arxiv.org/abs/math/0605450
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124406
dc.subjectRepresentation Theory
dc.subjectOperator Algebras
dc.subject22D10; 22D12
dc.titleSur la Propriété (T) tordue par un produit tensoriel
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