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Parametrised strict deformation quantization of C*-bundles and Hilbert C*-modules

Abstract:

In this paper, we use the parametrised strict deformation quantization of C*-bundles obtained in a previous paper, and give more examples and applications of this theory. In particular, it is used here to classify H_3-twisted noncommutative torus bundles over a locally compact space. This is extended to the case of general torus bundles and their parametrised strict deformation quantization. Rieffel's basic construction of an algebra deformation can be mimicked to deform a monoidal category, ...

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Publication status:
Published

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Publisher copy:
10.1017/S1446788711001170

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
J.Austral.Math.Soc.
Volume:
90
Issue:
1
Pages:
25-38
Publication date:
2010-07-27
DOI:
EISSN:
1446-8107
ISSN:
1446-7887
URN:
uuid:96a80105-aac9-430f-a5a3-89a95e2de949
Source identifiers:
164276
Local pid:
pubs:164276
Language:
English
Keywords:

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