Mathematics – Operator Algebras
Scientific paper
2010-06-11
Mathematics
Operator Algebras
43 pages
Scientific paper
We study actions of compact quantum groups on type I factors, which may be interpreted as projective representations of compact quantum groups. We generalize to this setting some of Woronowicz' results concerning Peter-Weyl theory for compact quantum groups. The main new phenomenon is that for general compact quantum groups (more precisely, those which are not of Kac type), not all irreducible projective representations have to be finite-dimensional. As applications, we consider the theory of projective representations for the compact quantum groups associated to group von Neumann algebras of discrete groups, and consider a certain non-trivial projective representation for quantum SU(2).
No associations
LandOfFree
On projective representations for compact 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 On projective representations for compact quantum groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On projective representations for compact quantum groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-77473