Nonassociative Strict Deformation Quantization of C*-Algebras and Nonassociative Torus Bundles |
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Authors: | Keith C. Hannabuss Varghese Mathai |
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Affiliation: | 1. Mathematical Institute, 24-29 St. Giles??, Oxford, OX1 3LB, UK 2. Balliol College, Oxford, OX1 3BJ, UK 3. Department of Pure Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia
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Abstract: | 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, and give a classification of these as nonassociative strict deformation quantization of ordinary principal torus bundles. We then relate this to T-duality of principal torus bundles with H-flux. In particular, the Octonions fit nicely into our theory. |
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