Proper actions of wreath products and generalizations
Group Theory
2012-03-28 v2
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 allows for a characterization of subsets with relative Property T in a standard wreath product.
Keywords
Cite
@article{arxiv.0905.3960,
title = {Proper actions of wreath products and generalizations},
author = {Yves Cornulier and Yves Stalder and Alain Valette},
journal= {arXiv preprint arXiv:0905.3960},
year = {2012}
}
Comments
29 pages, Minor changes