Non-Commutative T-Duality
Operator Algebras
2017-07-07 v2
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 . 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.
Cite
@article{arxiv.1406.6563,
title = {Non-Commutative T-Duality},
author = {Siegfried Echterhoff and Ansgar Schneider},
journal= {arXiv preprint arXiv:1406.6563},
year = {2017}
}
Comments
We extended the introduction and added some more examples. The paper will appear in the New York Journal of Mathematics