Proper actions of wreath products and generalizations

Cornulier, Yves; Stalder, Yves; Valette, Alain

doi:10.1090/S0002-9947-2012-05475-4

Proper actions of wreath products and generalizations
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by Yves Cornulier, Yves Stalder and Alain Valette PDF

Trans. Amer. Math. Soc. 364 (2012), 3159-3184 Request permission

Abstract:

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 provides a characterization of subsets with relative Property T in a standard wreath product.

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