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).

## 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 K_{0} and K_{1} are both free abelian of infinite rank. Generators are essentially parametrized by two items of Langlands data.

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- Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg)

Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg)

School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Pure Mathematics (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg)

Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)

School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)

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