Strictly outer actions of groups and quantum groups

Details Strictly outer actions of groups and quantum groups Strictly outer actions of groups and quantum groups

2002-11-18

arxiv.org/abs/math/0211272v2

Journal f\"ur die reine und angewandte Mathematik 578 (2005), 147--184.

Mathematics

Operator Algebras

Completely rewritten and extended version. In particular, we discuss in detail strictly outer actions of compact and discrete

Scientific paper

An action of a locally compact group or quantum group on a factor is said to be strictly outer when the relative commutant of the factor in the crossed product is trivial. We show that all locally compact quantum groups can act strictly outerly on a free Araki-Woods factor and that all locally compact groups can act strictly outerly on the hyperfinite II_1 factor. We define a kind of Connes' T invariant for locally compact quantum groups and prove a link with the possibility of acting strictly outerly on a factor with a given T invariant. Necessary and sufficient conditions for the existence of strictly outer actions of compact Kac algebras on the hyperfinite II_1 factor are given.

Affiliated with

Also associated with

No associations

Rating

Strictly outer actions of groups and quantum 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 Strictly outer actions of groups and quantum groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strictly outer actions of groups and quantum groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508944