C*-algebras in tensor categories
Quantum Algebra
2011-02-04 v2 High Energy Physics - Theory
Category Theory
Operator Algebras
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.
Keywords
Cite
@article{arxiv.math/0702802,
title = {C*-algebras in tensor categories},
author = {P. Bouwknegt and K. Hannabuss and V. Mathai},
journal= {arXiv preprint arXiv:math/0702802},
year = {2011}
}
Comments
39 pages, latex2e, new appendix added, typos fixed, Clay Mathematics Proceedings (to appear)