Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property

Details Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property

2004-08-29

arxiv.org/abs/math/0408400v1

Mathematics

Group Theory

Scientific paper

We prove that Connes' Embedding Conjecture holds for the von Neumann algebras
of sofic groups, that is sofic groups are hyperlinear. Hence we provide some
new examples of hyperlinearity. We also show that the Determinant Conjecture
holds for sofic groups as well. We introduce the notion of essentially free
actions and amenable actions and study their properties.

Affiliated with

Also associated with

No associations

Rating

Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property 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 Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperlinearity, essentially free actions and $L^2$-invariants. The sofic property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-37720