On C*-algebras associated with locally compact groups

被引：14

作者：

Bekka, MB

Kaniuth, E

Lau, AT

Schlichting, G

机构：

[1] UNIV GESAMTHSCH PADERBORN,FACHBEREICH MATH INFORMAT,D-33098 PADERBORN,GERMANY

[2] UNIV ALBERTA,DEPT MATH SCI,EDMONTON,AB T6G 2G1,CANADA

[3] TECH UNIV MUNICH,INST MATH,D-80333 MUNICH 2,GERMANY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 10期

关键词：

amenable group; connected Lie group; group C*-algebra; weak containment; Fourier algebra;

D O I：

10.1090/S0002-9939-96-03382-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：3151 / 3158

页数：8

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