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Operator algebras in rigid C*-tensor categories, part II

Presented by: 
David Penneys University of California, Los Angeles
Date: 
Friday 27th January 2017 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
In this talk, we will first define a (concrete) rigid C*-tensor category. We will then highlight the main features that are important to keep in mind when passing to the abstract setting. I will repeat a fair amount of material on  C*/W* algebra objects from Corey Jones' Monday talk. Today's goal will be to prove the Gelfand-Naimark theorem for C*-algebra objects in Vec(C). To do so, we will have to understand the analog of the W*-algebra B(H) as an algebra object in Vec(C). In the remaining time, we will elaborate on the motivation for the project from the lens of enriched quantum symmetries. This talk is based on joint work with Corey Jones (arXiv:1611.04620).


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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons