New York Journal of Mathematics
Volume 23 (2017) 927-986


Siegfried Echterhoff and Ansgar Schneider

Noncommutative T-duality. The dynamical duality theory and 2-dimensional examples

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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

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.


This work was partially supported by the Deutsche Forschungsgemeinschaft (SFB 878)

Author information

Siegfried Echterhoff:
Westfälische Wilhelms-Universität Münster, Mathematisches Institut, Einsteinstr. 62, D-48149 Münster, Germany

Ansgar Schneider:
Georgstrasse 19, D-53111 Bonn, Germany