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

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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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Group Theory, 20E22;20E08;20F65

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http://salesiana.dossiersoluciones.com/handle/123456789/110264

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603479
 http://arxiv.org/abs/math/0603479

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arXiv