### Abstract

T-duality, which arose in string theory, provides a procedure for linking pairs of principal bundles over the same base. However, some dual bundles are not geometric, but can still be described by noncommutative or even nonassociative algebras. The latter also requires some generalisations of standard C*-algebra ideas.

### Related Links

- http://www.arxiv.org/abs/hep-th/0412092 - algebraic aspects of nonassociative duals
- http://www.arxiv.org/abs/hep-th/0412268 - topological aspects of nonassociative duals
- http://www.arxiv.org/abs/hep-th/0401168 - noncommutative dual bundles