On C*-algebras associated with locally compact groups

M. B. Bekka; E. Kaniuth; A. T. Lau; G. Schlichting

doi:10.1090/s0002-9939-96-03382-5

On C*-algebras associated with locally compact groups

M. B. Bekka, E. Kaniuth, A. T. Lau, G. Schlichting

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Abstract

Let G be a locally compact group, and let G_d denote the same group G with the discrete topology. There are various C*-algebras associated to G and G_d. We are concerned with the question of when these C*-algebras are isomorphic. This is intimately related to amenability. The results can be reformulated in terms of Fourier and Fourier-Stieltjes algebras and of weak containment properties of unitary representations.

Original language	English
Pages (from-to)	3151-3158
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	10
DOIs	https://doi.org/10.1090/s0002-9939-96-03382-5
State	Published - 1996

Keywords

Amenable group
Connected Lie group
Fourier algebra
Group C*-algebra
Weak containment

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abstract = "Let G be a locally compact group, and let Gd denote the same group G with the discrete topology. There are various C*-algebras associated to G and Gd. We are concerned with the question of when these C*-algebras are isomorphic. This is intimately related to amenability. The results can be reformulated in terms of Fourier and Fourier-Stieltjes algebras and of weak containment properties of unitary representations.",

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AU - Bekka, M. B.

AU - Kaniuth, E.

AU - Lau, A. T.

AU - Schlichting, G.

PY - 1996

Y1 - 1996

N2 - Let G be a locally compact group, and let Gd denote the same group G with the discrete topology. There are various C*-algebras associated to G and Gd. We are concerned with the question of when these C*-algebras are isomorphic. This is intimately related to amenability. The results can be reformulated in terms of Fourier and Fourier-Stieltjes algebras and of weak containment properties of unitary representations.

AB - Let G be a locally compact group, and let Gd denote the same group G with the discrete topology. There are various C*-algebras associated to G and Gd. We are concerned with the question of when these C*-algebras are isomorphic. This is intimately related to amenability. The results can be reformulated in terms of Fourier and Fourier-Stieltjes algebras and of weak containment properties of unitary representations.

KW - Amenable group

KW - Connected Lie group

KW - Fourier algebra

KW - Group C-algebra

KW - Weak containment

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DO - 10.1090/s0002-9939-96-03382-5

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

On C*-algebras associated with locally compact groups

Abstract

Keywords

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