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arXiv · 1406.6563

Non-Commutative T-Duality

Siegfried Echterhoff·Ansgar Schneider
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Abstract

A duality theory of 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 $\Z^n$. Our theory also includes the bundles considered by Mathai and Rosenberg in their work on non-commutative T-duals, in which they allow twisted group algebras on one side of the duality.

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Siegfried Echterhoff, Ansgar Schneider. 2014-06-25. Non-Commutative T-Duality. https://arxiv.org/abs/1406.6563

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