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H^3 and twisted K-theory for compact Lie groups

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OAS - Operator algebras: subfactors and their applications

The WZW model in physics naturally leads to a study of twisted K-theory for compact Lie groups, which has been studied by Moore-Maldacena-Seiberg, Hopkins, Braun, and Douglas.  We re-examine a few aspects of this subject.  For example, what is the map on H^3 induced by a covering of compact simple Lie groups?  The result is complicated and quite surprising.  Also, what can we learn about twisted K-theory from the connection between Langlands duality and T-duality, studied by Daenzer-Van Erp and Bunke-Nikolaus?  Again, the result is rather surprising.  This is joint work with Mathai Varghese.



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