Reduced C*-algebra of the p-adic group GL(n) II

2001/10/01 by Roger Plymen, R. J. Plymen, Plymen, R. J.
Mathematics · #22D25 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA) #Representation Theory (math.RT) #math.OA #math.RT #msc:22D25

paper · pdf · doi:10.48550/arxiv.math/0110018

15 pages

arxiv created 2001/10/01 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be the p-adic group GL(n). Using C*-algebra techniques, we obtain a very explicit description of the tempered dual of G in terms of Bernstein parameters and extended quotients. We also prove that Plancherel measure (on the tempered dual of a reductive p-adic group) is rotation-invariant.

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