Explicit computations of all finite index bimodules for a family of II_1 factors

Details Explicit computations of all finite index bimodules for a family of II_1 factors Explicit computations of all finite index bimodules for a family of II_1 factors

2007-07-10

arxiv.org/abs/0707.1458v3

Annales Scientifiques de l'Ecole Normale Superieure, 41 (2008), 743-788.

Mathematics

Operator Algebras

Minor modifications, final version

Scientific paper

We study II_1 factors M and N associated with good generalized Bernoulli actions of groups having an infinite almost normal subgroup with the relative property (T). We prove the following rigidity result: every finite index M-N-bimodule (in particular, every isomorphism between M and N) is described by a commensurability of the groups involved and a commensurability of their actions. The fusion algebra of finite index M-M-bimodules is identified with an extended Hecke fusion algebra, providing the first explicit computations of the fusion algebra of a II_1 factor. We obtain in particular explicit examples of II_1 factors with trivial fusion algebra, i.e. only having trivial finite index subfactors.

Affiliated with

Also associated with

No associations

Rating

Explicit computations of all finite index bimodules for a family of II_1 factors 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 Explicit computations of all finite index bimodules for a family of II_1 factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit computations of all finite index bimodules for a family of II_1 factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-453786