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The Bost conjecture, open subgroups and groups acting on trees

Published online by Cambridge University Press:  23 October 2009

Walther Paravicini
Walther Paravicini
Affiliation:
Mathematisches Institut der WWU Münster, Einsteinstr. 62, 48149 Münster, Germany, W.Paravicini@uni-muenster.de
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Abstract

We prove that the Bost conjecture with C*-algebra coefficients for locally compact Hausdorff groups passes to open subgroups. We also prove that if a locally compact Hausdorff group acts on a tree, then the Bost conjecture with C*-coefficients is true for the group if and only if it is true for the stabilisers of the vertices.

Keywords

Locally compact groupoidKKban-theoryBanach algebraBaum-Connes conjectureBost conjecturelocally compact group
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 3 , December 2009 , pp. 469 - 490
Copyright
Copyright © ISOPP 2009

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