Reduced C*-Algebra of the p-Adic Group GL(n) II
Reduced C*-Algebra of the p-Adic Group GL(n) II
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
119-134
Plymen, R.J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
December 2002
Plymen, R.J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Plymen, R.J.
(2002)
Reduced C*-Algebra of the p-Adic Group GL(n) II.
Journal of Functional Analysis, 196 (1), .
(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
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Published date: December 2002
Organisations:
Pure Mathematics
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Local EPrints ID: 359953
URI: http://eprints.soton.ac.uk/id/eprint/359953
ISSN: 0022-1236
PURE UUID: 661b1fbc-0fe0-4f32-92cb-f89bfa42ffad
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Date deposited: 21 Nov 2013 09:49
Last modified: 14 Mar 2024 15:31
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