Characterizations of amenable representations of locally compact groups

被引：0

作者：

Cheng, Michael Yin-Hei ^{[1
]}

机构：

[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

STUDIA MATHEMATICA | 2012年 / 213卷 / 03期

关键词：

Fourier algebras; Fourier-Stieltjes algebras; locally compact groups; amenability; approximate identity; factorization; weak closure; von-Neumann algebras;

D O I：

10.4064/sm213-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a locally compact group and let it be a unitary representation. We study amenability and H-amenability of it in terms of the weak closure of (pi circle times pi) (G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.

引用

页码：207 / 225

页数：19

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