Noncommutative principal torus bundles via parametrised strict deformation quantization

Details Noncommutative principal torus bundles via parametrised strict deformation quantization Noncommutative principal torus bundles via parametrised strict deformation quantization

2009-11-10

arxiv.org/abs/0911.1886v2

Proc.Symp.Pure Math.81:133-148,2010; 00047,81,133

Physics

Mathematical Physics

15 pages. To appear in, Proceedings of Symposia of Pure Mathematics

Scientific paper

In this paper, we initiate the study of a parametrised version of Rieffel's
strict deformation quantization. We apply it to give a classification of
noncommutative principal torus bundles, in terms of parametrised strict
deformation quantization of ordinary principal torus bundles. The paper also
contains a putative definition of noncommutative non-principal torus bundles.

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