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C*-algebras in tensor categories

P. Bouwknegt·K. Hannabuss·V. Mathai
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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.

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BibTeXRIS

P. Bouwknegt, K. Hannabuss, V. Mathai. 2007-02-26. C*-algebras in tensor categories. https://arxiv.org/abs/math/0702802

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