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

摘要

A duality theoryfor bundles of C*-algebraswhose fibres are twisted transformation group algebrasis 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 noncommutativeT-duals, in which they allow twisted group algebras on one side of the duality.