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Proper actions of wreath products and generalizations

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.

preprint2012arXivOpen access
Yves CornulierYves StalderAlain Valette
math.GR
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Open access3 authors1 topic
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Yves CornulierYves StalderAlain Valette

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