2006.101: Reduced C*-algebra of the p-adic group GL(n) II
2006.101: Roger Plymen (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 2000 > 46 Functional analysis |
| MIMS number: | 2006.101 |
| Deposited By: | Professor Roger Plymen |
| Deposited On: | 18 May 2006 |
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