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Rieffel-Kasprzak Deformation and Applications

Harold Bustos
University of Trieste
Friday, December 16, 2016 - 16:15

 In this talk I will present the construction and some properties for the Kasprzak approach to Quantization Deformation, also called Cocycle Deformation. This construction can be considered as a far generalization of the Rieffel pseudo-differential calculus. While the Rieffel construction is done using hard elements of analysis, the new approach suggests to consider the crossed product construction and Duality Theorems for $C^*$-algebras, getting a more algebraic approach with possible generalizations to more general situations.  As an application, I will show how it can be used to define quantizations of certain Poisson structures. 

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