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

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• David Penneys (University of California, Los Angeles)
• Friday 27 January 2017, 16:00-17:00
• Seminar Room 1, Newton Institute.

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OASW01 - Structure of operator algebras: subfactors and fusion categories

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©. To do so, we will have to understand the analog of the W*-algebra B(H) as an algebra object in Vec©. 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).

This talk is part of the Isaac Newton Institute Seminar Series series.

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