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The reduced C*-algebra of the p-adic group GL(n)

The reduced C*-algebra of the p-adic group GL(n)
The reduced C*-algebra of the p-adic group GL(n)

The reduced C*-algebra of the p-adic group GL(n) is Morita equivalent to an abelian C*-algebra. The structure of this abelian C*-algebra is described in terms of unramified unitary characters of Levi subgroups. The K-groups K0 and K1 are both free abelian of infinite rank. Generators are essentially parametrized by two items of Langlands data.

0022-1236
1-12
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Plymen, R. J.
76de3dd0-ddcb-4a34-98e1-257dddb731f5

Plymen, R. J. (1987) The reduced C*-algebra of the p-adic group GL(n). Journal of Functional Analysis, 72 (1), 1-12. (doi:10.1016/0022-1236(87)90076-0).

Record type: Article

Abstract

The reduced C*-algebra of the p-adic group GL(n) is Morita equivalent to an abelian C*-algebra. The structure of this abelian C*-algebra is described in terms of unramified unitary characters of Levi subgroups. The K-groups K0 and K1 are both free abelian of infinite rank. Generators are essentially parametrized by two items of Langlands data.

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Published date: May 1987

Identifiers

Local EPrints ID: 422330
URI: https://eprints.soton.ac.uk/id/eprint/422330
ISSN: 0022-1236
PURE UUID: 25a625da-3a67-4ddd-badf-6e6fb52b45a1

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Date deposited: 20 Jul 2018 16:31
Last modified: 20 Jul 2018 16:31

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