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Siegfried Echterhoff and Ansgar Schneider
Noncommutative T-duality. The dynamical duality theory and 2-dimensional examples view print
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| Published: |
July 30, 2017 |
| Keywords: |
T-duality, continuous bundles of C*-algebras, noncommutative tori, twisted group algebras |
| Subject: |
Primary 46L80; secondary 46L55, 19M05, 43A25 |
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Abstract
A duality theory
for bundles of C*-algebras
whose fibres are twisted transformation group algebras
is established.
Classical T-duality is obtained as a special case,
where all fibres are commutative tori,
i.e., untwisted group algebras for Zn. Our theory also includes
the bundles considered by Mathai and Rosenberg in their work on noncommutative
T-duals, in which they allow twisted group algebras on one side of the duality.
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| Acknowledgements
This work was partially supported by the Deutsche Forschungsgemeinschaft (SFB 878)
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| Author information
Siegfried Echterhoff:
Westfälische Wilhelms-Universität Münster, Mathematisches Institut, Einsteinstr. 62, D-48149 Münster, Germany
echters@math.uni-muenster.de
Ansgar Schneider:
Georgstrasse 19, D-53111 Bonn, Germany
ansgar.schneider@uni-muenster.de
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