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Non-Commutative T-Duality
Published 25 Jun 2014 in math.OA | (1406.6563v2)
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 $\Zn$. 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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