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arxiv: 0905.3960 · v2 · pith:L7SUCCNZnew · submitted 2009-05-25 · 🧮 math.GR

Proper actions of wreath products and generalizations

classification 🧮 math.GR
keywords productswreathpropertystandardunderactionsallowscertain
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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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