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

Plymen, Roger (2002) Reduced C*-algebra of the p-adic group GL(n) II. Journal of Functional Analysis, 196 (1). pp. 119-134. ISSN 0022-1236

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Abstract

The reduced C*-algebra of the p-adic group GL(n) admits a Bernstein decomposition. We give a minimal refinement of this decomposition, and provide structure theorems for the reduced Iwahori-Hecke C*-algebra and the reduced spherical C*-algebra. This leads to a very explicit description of the tempered dual of GL(n) 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.

Item Type:	Article
Uncontrolled Keywords:	General linear group. Reduced C*-algebra. Tempered dual. Bernstein parameters. Plancherel measure
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 46 Functional analysis
Depositing User:	Professor Roger Plymen
Date Deposited:	18 May 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/270

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