Proceedings of the American Mathematical Society

Author(s): M. B. Bekka; E. Kaniuth; A. T. Lau; G. Schlichting
Journal: Proc. Amer. Math. Soc. 124 (1996), 3151-3158.
MSC (1991): Primary 43A30, 22D10
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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 $C^{*}\text {-algebras}$ associated to $G$

and $G_{d}.$ We are concerned with the question of when these $C^{*}\text {-algebras}$ 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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 43A30, 22D10

M. B. Bekka
Affiliation: Département de Mathématiques, University de Metz, UFR M.I.M. Ile du Saulcy, F-57045 Metz Cedex 01, France
Email: bekka@poncelet.univ-metz.fr

E. Kaniuth
Affiliation: Fachbereich Mathematik-Informatik, Universität-GH Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany
Email: kaniuth@uni-paderborn.de

A. T. Lau
Affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: tlau@vega.math.ualberta.ca

G. Schlichting
Affiliation: Mathematisches Institut, Technische Universität München, Arcisstrasse 21, W-80333 München 2, Germany
Email: gschlich@mathematik.tu-muenchen.de

DOI: 10.1090/S0002-9939-96-03382-5
PII: S 0002-9939(96)03382-5
Keywords: Amenable group, connected Lie group, group $C^{*}$-algebra, weak containment, Fourier algebra
Additional Notes: This research is supported by a NATO collaborative research grant 940184.
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1996, American Mathematical Society

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