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

被引：4

作者：

Plymen, RJ ^{[1
]}

机构：

[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2002年 / 196卷 / 01期

关键词：

reduced C*-algebra; tempered dual; Bernstein parameters; Plancherel measure;

D O I：

10.1006/jfan.2002.3980

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2002 Ekevier Science (USA).

引用

页码：119 / 134

页数：16

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