Noncommutative principal torus bundles via parametrised strict deformation quantization
Date
2010
Authors
Hannabuss, K.
Varghese, M.
Editors
Doran, R.S.
Friedman, G.
Rosenberg, J.
Friedman, G.
Rosenberg, J.
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Conference paper
Citation
Proceedings of Symposia in Pure Mathematics, 2010 / Doran, R.S., Friedman, G., Rosenberg, J. (ed./s), vol.81, pp.133-147
Statement of Responsibility
Keith C. Hannabuss and Varghese Mathai
Conference Name
NSF/CBMS Conference (18 May 2009 - 22 May 2009 : Fort Worth, Texas)
Abstract
In this paper, we initiate the study of a parametrised version of Fieffel's strict deformation quantization. We apply it to give a classification of noncommutative prinicpal torus bundles, in terms of parametrised strict deformation quantization of ordinary principal torus bundles. The paper also contains a putative defination of noncommutative non-principal torus bundles.
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Copyright 2010 American Mathematical Society