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Non-commutative T-duality

Siegfried Echterhoff, Ansgar Schneider,
published 2014-06-25

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. 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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