Wreath products with the integers, proper actions and Hilbert space compression

Details Wreath products with the integers, proper actions and Hilbert space compression Wreath products with the integers, proper actions and Hilbert space compression

2006-03-20

arxiv.org/abs/math/0603479v2

Mathematics

Group Theory

Minor corrections

Scientific paper

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
\Z. We also give a lower bound for the (equivariant) Hilbert space compression
of H\wr\Z in terms of the (equivariant) Hilbert space compression of H.

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