Algebry operatorów i ich zastosowania w fizyce
sala seminaryjna KMMF, Hoża 74, Vp.
Paweł Kasprzak (KMMF)
Rieffel deformation of tensor functor and braided quantum groups (II)
In this talk we apply Rieffel deformation to the tensor product considered as a functor in the category of C* -algebras with an abelian group action. In the case of the Rieffel deformation applied to a quantum group with the abelian group acting by automorphisms the deformed tensor product enables us to view the deformed object as a braided quantum group. Weuse this construction as a hint towards a general theory of braided quantum groups. In particular we construct a bicharacter together with the dual braided quantum group. We employ our methode to get a braided quantum Minkowski space. Its description in terms of the deformedspace-time coordinates is provided.