Complexes and Exactness of certain Artin Groups

Details Complexes and Exactness of certain Artin Groups Complexes and Exactness of certain Artin Groups

2010-08-23

arxiv.org/abs/1008.3925v1

Mathematics

Group Theory

20 pages, 2 figures, submitted

Scientific paper

In his work on the Novikov conjecture, Yu introduced Property $A$ as a readily verified criterion implying coarse embeddability. Studied subsequently as a property in its own right, Property $A$ for a discrete group is known to be equivalent to exactness of the reduced group $C^*$-algebra and to the amenability of the action of the group on its Stone-Cech compactification. In this paper we study exactness for groups acting on a finite dimensional $\CAT(0)$ cube complex. We apply our methods to show that Artin groups of type FC are exact. While many discrete groups are known to be exact the question of whether every Artin group is exact remains open.

Affiliated with

Also associated with

No associations

Rating

Complexes and Exactness of certain Artin 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 Complexes and Exactness of certain Artin Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complexes and Exactness of certain Artin Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-392962