A homological characterization of topological amenability

Autor:	Brodzki, Jacek, Niblo, Graham A., Nowak, Piotr, Wright, Nick J.
Rok vydání:	2010
Předmět:	Mathematics - Group Theory Mathematics - Operator Algebras 20J05 43A07
Druh dokumentu:	Working Paper
Popis:	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-\vCech compactification we obtain a homological characterization of exactness of the group, answering a question of Nigel Higson. Comment: Updated to include a discussion of functoriality
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1008.4154 Zobrazit plný text záznamu View this record from Arxiv