You are here: MIMS > EPrints
MIMS EPrints

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

Full text available as:

PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
185 Kb

DOI: 10.1006/jfan.2002.3980

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

Download Statistics: last 4 weeks
Repository Staff Only: edit this item