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Type: Conference paper
Title: C*-algebras in tensor categories
Author: Bouwknegt, P.
Hannabuss, K.
Varghese, M.
Citation: Motives, Quantum Field Theory, and Pseudodifferential Operators: Clay Mathematics Proceedings Vol 12, 2010, vol.12, pp.127-165
Publisher: American Mathematical Society
Publisher Place: United States
Issue Date: 2010
Conference Name: Motives, Quantum Field Theory, and Pseudodifferntial Operators (2 Jun 2008 : Boston, USA)
Statement of
Peter Bouwknegt, Keith C. Hannabuss, and Varghese Mathai
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: C*-algebras
Takai duality
topological tensor categories
twisted crossed products
Rights: © Peter Bouwknegt, Keith C. Hannabuss, and Varghese Mathai
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