Regular Objects, Multiplicative Unitaries and Conjugation
| dc.creator | Pinzari, Claudia | |
| dc.creator | Roberts, John E. | |
| dc.date | 2002-03-06 | |
| dc.date.accessioned | 2026-07-07T04:46:51Z | |
| dc.date.available | 2026-07-07T04:46:51Z | |
| dc.description | The notion of left (resp. right) regular object of a tensor C*-category equipped with a faithful tensor functor into the category of Hilbert spaces is introduced. If such a category has a left (resp. right) regular object, it can be interpreted as a category of corepresentations (resp. representations) of some multiplicative unitary. A regular object is an object of the category which is at the same time left and right regular in a coherent way. A category with a regular object is endowed with an associated standard braided symmetry. Conjugation is discussed in the context of multiplicative unitaries and their associated Hopf C*-algebras. It is shown that the conjugate of a left regular object is a right regular object in the same category. Furthermore the representation category of a locally compact quantum group has a conjugation. The associated multiplicative unitary is a regular object in that category. | |
| dc.description | 48 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0203051 | |
| dc.identifier | http://arxiv.org/abs/math/0203051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63500 | |
| dc.subject | Operator Algebras | |
| dc.subject | 81R50, 18D10 | |
| dc.title | Regular Objects, Multiplicative Unitaries and Conjugation | |
| dc.type | text |