Pentagon Equation and Compact Quantum Semigroups

Details Pentagon Equation and Compact Quantum Semigroups Pentagon Equation and Compact Quantum Semigroups

2011-12-13

arxiv.org/abs/1112.2909v1

Mathematics

Quantum Algebra

8 pages

Scientific paper

The generalization of multiplicative unitary notion from compact quantum groups to compact quantum semigroups is considered. We show why the same construction doesn't work in this case by giving examples of C*-algebras with non-trivial comultiplication which do not admit multiplicative unitaries. By the use of the pentagon equation we suggest a notion of an operator which gives comultiplication on any C*-algebra. The multiplicative unitary turns out to be its special case. We prove for some compact quantum semigroups that the comultiplication is given by such operator.

Affiliated with

Also associated with

No associations

Rating

Pentagon Equation and Compact Quantum Semigroups 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 Pentagon Equation and Compact Quantum Semigroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pentagon Equation and Compact Quantum Semigroups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-487055