Hilbert space compression and exactness of discrete groups

We show that the Hilbert space compression of any (unbounded) finite-dimensional CAT(0) cube complex is 1 and deduce that any finitely generated group acting properly, co-compactly on a CAT(0) cube complex is exact, and hence has Yu's Property A. The class of groups covered by this theorem incl...

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Bibliographic Details
Main Authors: Campbell, Sarah (Author), Niblo, Graham A. (Author)
Format: Article
Language:English
Published: 2005.
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Online Access:Get fulltext

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