Rieffel deformation of tensor functor and braided quantum groups
Operator Algebras
2015-05-20 v5 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In this paper we apply Rieffel deformation to C*- tensor product viewed as a functor on the category of C*-algebras with an abelian group action. In the case of the Rieffel deformation of a quantum group with the action by automorphisms the deformed tensor product enables us to view the deformed object as a braided quantum group. We construct a bicharacter for a braided quantum group and the dual braided quantum group. We employ our method to get a braided quantum Minkowski space. Its description in terms of the deformed space-time coordinates is provided.
Cite
@article{arxiv.1403.6440,
title = {Rieffel deformation of tensor functor and braided quantum groups},
author = {Pawel Kasprzak},
journal= {arXiv preprint arXiv:1403.6440},
year = {2015}
}
Comments
Typos corrected, the citations added; accepted for a publication in Communications in Mathematical Physics