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arXiv:0707.2039 [math.GR]AbstractReferencesReviewsResources

Proper actions of lamplighter groups associated with free groups

Yves De Cornulier, Yves Stalder, Alain Valette

Published 2007-07-13, updated 2007-11-10Version 2

Given a finite group $H$ and a free group $F_n$, we prove that the wreath product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert space.

Comments: 6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborate paper on the subject
Categories: math.GR
Subjects: 20E22, 20F65
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