C*-algebras in tensor categories

Details C*-algebras in tensor categories C*-algebras in tensor categories

2007-02-26

arxiv.org/abs/math/0702802v2

Clay Math.Proc.12:127-165, 2010

Mathematics

Quantum Algebra

39 pages, latex2e, new appendix added, typos fixed, Clay Mathematics Proceedings (to appear)

Scientific paper

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.

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