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...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
2005.
|
Subjects: | |
Online Access: | Get fulltext |