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|Title:||C*-algebras in tensor categories|
|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|
|Conference Name:||Motives, Quantum Field Theory, and Pseudodifferntial Operators (2 Jun 2008 : Boston, USA)|
|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.|
topological tensor categories
twisted crossed products
|Rights:||© Peter Bouwknegt, Keith C. Hannabuss, and Varghese Mathai|
|Appears in Collections:||Aurora harvest|
Mathematical Sciences publications
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