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...

Full description

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