Algebry operatorów i ich zastosowania w fizyce

In this talk we apply Rie ffel 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 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 deformed space-time coordinates is provided.