Sur la Propriété (T) tordue par un produit tensoriel

2006/05/16 by Maria-Paula Gomez-Aparicio, Gomez-Aparicio, Maria-Paula
Mathematics · #22D10 #22D12 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.math/0605450

openalex publication_date 2006/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 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⊗π, where π ranges over the irreducible unitary representations, in a sense to be made precise.

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