Proper actions of wreath products and generalizations

Details Proper actions of wreath products and generalizations Proper actions of wreath products and generalizations

2009-05-25

arxiv.org/abs/0905.3960v2

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

Mathematics

Group Theory

29 pages, Minor changes

Scientific paper

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.

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