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Proper actions of lamplighter groups associated with free groups

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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https://hal.archives-ouvertes.fr/hal-00162561
Contributor : Yves Stalder <>
Submitted on : Friday, November 9, 2007 - 7:00:34 PM
Last modification on : Tuesday, April 20, 2021 - 12:20:12 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 2:41:25 PM

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  • HAL Id : hal-00162561, version 2
  • ARXIV : 0707.2039

Citation

Yves de Cornulier, Yves Stalder, Alain Valette. Proper actions of lamplighter groups associated with free groups. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2008, 346 (3-4), pp.173-176. ⟨hal-00162561v2⟩

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