A Coassociative C*-Quantum Group with Non-Integral Dimensions

Details A Coassociative C*-Quantum Group with Non-Integral Dimensions A Coassociative C*-Quantum Group with Non-Integral Dimensions

1995-09-08

arxiv.org/abs/q-alg/9509008v1

Mathematics

Quantum Algebra

16 pages, LaTeX

Scientific paper

10.1007/BF01815526

By weakening the counit and antipode axioms of a C*-Hopf algebra and allowing for the coassociative coproduct to be non-unital we obtain a quantum group, that we call a weak C*-Hopf algebra, which is sufficiently general to describe the symmetries of essentially arbitrary fusion rules. This amounts to generalizing the Baaj-Skandalis multiplicative unitaries to multipicative partial isometries. Every weak C*-Hopf algebra has a dual which is again a weak C*-Hopf algebra. An explicit example is presented with Lee-Yang fusion rules. We shortly discuss applications to amalgamated crossed products, doubles, and quantum chains.

Affiliated with

Also associated with

No associations

Rating

A Coassociative C*-Quantum Group with Non-Integral Dimensions 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 Coassociative C*-Quantum Group with Non-Integral Dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Coassociative C*-Quantum Group with Non-Integral Dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-192842