2-C*-categories with non-simple units
| dc.creator | Zito, Pasquale A. | |
| dc.date | 2005-09-13 | |
| dc.date.accessioned | 2026-07-07T05:23:08Z | |
| dc.date.available | 2026-07-07T05:23:08Z | |
| dc.description | 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. | |
| dc.description | 47 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509266 | |
| dc.identifier | http://arxiv.org/abs/math/0509266 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76320 | |
| dc.subject | Category Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | 18D05; 46Lxx | |
| dc.title | 2-C*-categories with non-simple units | |
| dc.type | text |