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- W1623184507 abstract "English abstract: This work contains of five chapters: The first one deals with Morita equivalence of star algebras. In particular star algebras which are equipped with a symmetry given by a Hopf (star-) algebra. In the second chapter we describe the equivariant Picard group and the equivariant Picard groupoid, which are a direct consequence of the results from the first chapter. We calculated the kernel and the image of the groupoid morphism from the equivariant Picard groupoid into the normal one. We give furthermore a formalized version of Morita invariance: given by a functor from the Picard groupoid to another category. This is shown for several examples. In the third chapter we show the connection between Hopf equivariant Morita equivalence of star algebras and the Morita equivalence of cross-product algebras. The forth chapter deals with deformation quantization and gives an extended introduction to (invariant) star products. In the fifth chapter we show the Hopf equivariance of deformed algebras (i.e. of hermitian star products). This is a important examples which concludes the previous chapters." @default.
- W1623184507 created "2016-06-24" @default.
- W1623184507 creator A5073965144 @default.
- W1623184507 date "2010-04-09" @default.
- W1623184507 modified "2023-09-27" @default.
- W1623184507 title "H-äquivariante Morita-Äquivalenz und Deformationsquantisierung" @default.
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