Hilbert space compression and exactness for discrete groups

Details Hilbert space compression and exactness for discrete groups Hilbert space compression and exactness for discrete groups

2004-03-26

arxiv.org/abs/math/0403456v1

Mathematics

Group Theory

14 pages

Scientific paper

We show that the Hilbert space compression of any finite dimensional CAT(0) cube complex is 1 and deduce that any discrete group acting properly, co-compactly on a CAT(0) cube complex is exact. The class of groups covered by this theorem includes free groups, finitely generated Coxeter groups, finitely generated right angled Artin groups, finitely presented groups satisfying the B(4)-T(4) small cancellation condition and all those word-hyperbolic groups satisfying the B(6) condition. Another family of examples is provided by certain canonical surgeries defined by link diagrams.

Affiliated with

Also associated with

No associations

Rating

Hilbert space compression and exactness for discrete groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hilbert space compression and exactness for discrete groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert space compression and exactness for discrete groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-383567