Adelaide Research & Scholarship
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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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