C*-algebras in tensor categories
arXiv:math/0702802
Abstract
We define and systematically study nonassociative C*-algebras as C*-algebras internal to a topological tensor category. We also offer a concrete approach to these C*-algebras, as G-invariant, norm closed *-subalgebras of bounded operators on a G-Hilbert space, with deformed composition product. Our central results are those of stabilization and Takai duality for (twisted) crossed products in this context.
39 pages, latex2e, new appendix added, typos fixed, Clay Mathematics Proceedings (to appear)