Exactness of locally compact groups

被引：18

作者：

Brodzki, Jacek ^{[1
]}

Cave, Chris ^{[2
]}

Li, Kang ^{[2
]}

机构：

[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

[2] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen O, Denmark

来源：

ADVANCES IN MATHEMATICS | 2017年 / 312卷

基金：

英国工程与自然科学研究理事会; 新加坡国家研究基金会;

关键词：

Exactness of groups; Amenable actions; Coarse geometry; CONNES CONJECTURE; AMENABILITY; ALGEBRAS; PROPERTY; SYSTEMS; SPACES;

D O I：

10.1016/j.aim.2017.03.020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give some new characterizations of exactness for locally compact second countable groups. In particular, we prove that a locally compact second countable group is exact if and only if it admits a topologically amenable action on a compact Hausdorff space. This answers an open question by Anantharaman-Delaroche. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：209 / 233

页数：25

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