2-C*-categories with non-simple units

Details 2-C*-categories with non-simple units 2-C*-categories with non-simple units

2005-09-13

arxiv.org/abs/math/0509266v1

Mathematics

Category Theory

47 pages

Scientific paper

We study the general structure of 2-C*-categories closed under conjugation, projections and direct sums. We do not assume units to be simple, i.e. for i_A the 1-unit corresponding to an object A, the space Hom(i_A, i_A) is a commutative unital C*-algebra. We show that 2-arrows can be viewed as continuous sections in Hilbert bundles and describe the behaviour of the fibres with respect to the categorical structure. We give an example of a 2-C*-Category giving rise to bundles of finite Hopf-algebras in duality. We make some remarks concerning Frobenius algebras and Q-systems in the general context of tensor C*-categories with non-simple units.

Affiliated with

Also associated with

No associations

Rating

2-C*-categories with non-simple units 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 2-C*-categories with non-simple units, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 2-C*-categories with non-simple units will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703816