Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/70922
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 Responsibility: | 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 stabilization Takai duality topological tensor categories twisted crossed products |
Rights: | © Peter Bouwknegt, Keith C. Hannabuss, and Varghese Mathai |
Published version: | http://www.ams.org/bookstore?fn=20&arg1=cmipseries&ikey=CMIP-12 |
Appears in Collections: | Aurora harvest Mathematical Sciences publications |
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