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Proper actions of wreath products and generalizations
Yves Stalder 1, Yves de Cornulier 2, Alain Valette 3
(2009-05)

We study stability properties of the Haagerup property and of coarse embeddability in a Hilbert space, under certain semidirect products. In particular, we prove that they are stable under taking standard wreath products. Our construction also allows for a characterization of subsets with relative Property T in a standard wreath product.
1:  Laboratoire de Mathématiques
CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II
2:  Institut de Recherche Mathématique de Rennes (IRMAR)
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
3:  Institut de Mathématiques (UnINE)
Université Neuchatel
Mathematics/Group Theory