Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors

Details Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors

1998-10-08

arxiv.org/abs/math/9810049v1

Mathematics

Quantum Algebra

Latex, 28 pages

Scientific paper

We show that indecomposable weak Kac algebras are free over their Cartan subalgebras and prove a duality theorem for their actions. Using this result, for any biconnected weak Kac algebra we construct a minimal action on the hyperfinite II_1 factor. The corresponding crossed product inclusion of II_1 factors has depth 2 and an integer index. Its first relative commutant is, in general, non-trivial, so we derive some arithmetic properties of weak Kac algebras from considering reduced subfactors.

Affiliated with

Also associated with

No associations

Rating

Duality for actions of weak Kac algebras and crossed product inclusions 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 Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality for actions of weak Kac algebras and crossed product inclusions of II_1 factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508973