Aug 2012

A homological characterization of topological amenability

The paper “A homological characterization of topological amenability” has now appeared in AGT at

http://msp.org/agt/2012/12-03/agt-2012-12-065p.pdf

The ArXiv version can be found at:

http://arxiv.org/abs/1008.4154.

From the 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.