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The Bost conjecture, open subgroups and groups acting on trees
Published online by Cambridge University Press: 23 October 2009
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.
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- Copyright © ISOPP 2009