Weak amenability for dynamical systems

被引：6

作者：

McKee, Andrew ^{[1
,2
,3
]}

机构：

[1] Chalmers Univ Technol, Dept Math Sci, SE-41296 Gothenburg, Sweden

[2] Univ Gothenburg, SE-41296 Gothenburg, Sweden

[3] Univ Bialystok, Fac Math, K Ciolkowskiego 1M, PL-15245 Bialystok, Poland

来源：

STUDIA MATHEMATICA | 2021年 / 258卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Schur multiplier; C*-crossed products; approximation properties; weak amenability; HERZ-SCHUR MULTIPLIERS; C-ASTERISK-ALGEBRAS; FOURIER ALGEBRA; BOUNDED MULTIPLIERS;

D O I：

10.4064/sm200227-20-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the recently developed notion of a Herz-Schur multiplier of a C*-dynamical system we introduce weak amenability of C*- and W*-dynamical systems. As a special case we recover Haagerup's characterisation of weak amenability of a discrete group. We also consider a generalisation of the Fourier algebra and its multipliers to crossed products.

引用

页码：53 / 70

页数：18

共 18 条

[1] The Fourier-Stieltjes algebra of a C*-dynamical system [J].