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Abstract: In this paper, we initiate the study of a parametrised version of Rieffel-sstrict deformation quantization. We apply it to give a classification ofnoncommutative principal torus bundles, in terms of parametrised strictdeformation quantization of ordinary principal torus bundles. The paper alsocontains a putative definition of noncommutative non-principal torus bundles.



Author: Keith Hannabuss, Varghese Mathai

Source: https://arxiv.org/



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