Proper actions of lamplighter groups associated with free groups

2007/07/13 by Yves Cornulier, Yves De Cornulier, Yves Stalder +4
Mathematics · #20E22 (primary) #20F65 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #msc:20E22 #msc:20F65

paper · pdf · doi:10.48550/arxiv.0707.2039

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

openalex publication_date 2007/07/13 · arxiv created 2007/11/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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