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arXiv · 1403.6440

Rieffel deformation of tensor functor and braided quantum groups

Pawel Kasprzak
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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.

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BibTeXRIS

Pawel Kasprzak. 2014-10-07. Rieffel deformation of tensor functor and braided quantum groups. https://doi.org/10.1007/s00220-015-2296-x

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