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This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-heoretic Morita equivalen...
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
Nonassociative strict deformation quantization nonassociative torus bundles T-duality
2011/1/20
In this paper, we initiate the study of nonassociative strict deformation quantization of C-algebras with a torus action. We shall also present a definition of nonassociative principal
torus bundles...
Deformation Quantization for Heisenberg Supergroup
Deformation Quantization Heisenberg Supergroup
2010/11/17
We construct a non-formal deformation quantization of the Heisenberg supergroup. The deformed star product provides a Universal Deformation Formula, namely it deforms the algebras on which the Heisenb...