#### Volume 12, issue 3 (2012)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
A homological characterization of topological amenability

### Jacek Brodzki, Graham A Niblo, Piotr W Nowak and Nick Wright

Algebraic & Geometric Topology 12 (2012) 1763–1776
##### Abstract

Generalizing Block and Weinberger’s characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a homological characterization of topological amenability for actions. By considering the case of the natural action of $G$ on its Stone–Čech compactification we obtain a homological characterization of exactness of the group.

##### Keywords
topological amenability, uniformly finite homology, exact groups
##### Mathematical Subject Classification 2000
Primary: 43A07
Secondary: 37A15, 58E40, 46L55