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Article Dans Une Revue Journal für die reine und angewandte Mathematik Année : 2011

Analytic R-groups of affine Hecke algebras

Résumé

We define analytic $R$-groups for affine Hecke algebras, and prove the analog of the Knapp-Stein Dimension Theorem. As a corollary we prove that the commutant algebra of a unitary principal series representation is isomorphic to the complex group algebra of the $R$-group, twisted by a certain 2-cocycle $\gamma$. For classical Hecke algebras we prove that $\gamma$ is always trivial.

Dates et versions

hal-01273294 , version 1 (12-02-2016)

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Patrick Delorme, Eric Opdam. Analytic R-groups of affine Hecke algebras. Journal für die reine und angewandte Mathematik, 2011, 2011 (658), pp.133-172. ⟨10.1515/crelle.2011.064⟩. ⟨hal-01273294⟩
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