K-theory for the maximal Roe algebra of certain expanders

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study in this paper the maximal version of the coarse Baum-Connes assembly map for families of expanding graphs arising from residually finite groups. Unlike for the usual Roe algebra, we show that this assembly map is closely related to the (maximal) Baum-Connes assembly map for the group and is an isomorphism for a class of expanders. We also introduce a quantitative Baum-Connes assembly map and discuss its connections to K-theory of (maximal) Roe algebras.
45 pages

Keywords

Operator Algebras, Geometric Topology, K-Theory and Homology, 19K35, 46L80

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/219829

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.2317
 http://arxiv.org/abs/0902.2317

Collections

arXiv