A class of groups for which every action is W*-superrigid

Details A class of groups for which every action is W*-superrigid A class of groups for which every action is W*-superrigid

2010-10-25

arxiv.org/abs/1010.5077v3

Mathematics

Operator Algebras

v3: Minor changes; final version; to appear in Groups, Geometry, and Dynamics v2: We changed the title to make it more informa

Scientific paper

We prove the uniqueness of the group measure space Cartan subalgebra in crossed products A \rtimes \Gamma covering certain cases where \Gamma is an amalgamated free product over a non-amenable subgroup. In combination with Kida's work we deduce that if \Sigma < SL(3,\Z) denotes the subgroup of matrices g with g_31 = g_32 = 0, then any free ergodic probability measure preserving action of \Gamma = SL(3,\Z) *_\Sigma SL(3,\Z) is stably W*-superrigid. In the second part we settle a technical issue about the unitary conjugacy of group measure space Cartan subalgebras.

Affiliated with

Also associated with

No associations

Rating

A class of groups for which every action is W*-superrigid 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 A class of groups for which every action is W*-superrigid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A class of groups for which every action is W*-superrigid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-93779