Wreath products with the integers, proper actions and Hilbert space compression
Yves Stalder, Alain Valette
math.GRarXiv:math/0603479
Abstract
We prove that the properties of acting metrically properly on some space with walls or some CAT(0) cube complex are closed by taking the wreath product with . We also give a lower bound for the (equivariant) Hilbert space compression of H in terms of the (equivariant) Hilbert space compression of H.
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