On operator amenability of Fourier-Stieltjes algebras

被引：1

作者：

Spronk, Nico ^{[1
]}

机构：

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

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2020年 / 158卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Fourier-Stieltjes algebra; Operator space; Amenability; WEAK AMENABILITY; MATRIX COEFFICIENTS; BANACH; SEMIGROUP;

D O I：

10.1016/j.bulsci.2019.102823

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Fourier-Stieltjes algebra B(G) of a locally compact group G. We show that operator amenability of B(G) implies that a certain semitopological compactification of G admits only finitely many idempotents. In the case that G is connected, we show that operator amenability of B(G) entails that G is compact. (C) 2019 Published by Elsevier Masson SAS.

引用

页数：16

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