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Operator Algebras in rigid C*-tensor categories

Presented by: 
Corey Jones Australian National University
Date: 
Monday 23rd January 2017 - 13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
In this talk, we will describe a theory of operator algebra objects in an arbitrary rigid C*-tensor category C.  Letting C be the category of finite dimensional Hilbert spaces, we recover the ordinary theory of operator algebras.  We will explain the philosophy and motivation for this framework, and how it provides a unified perspective on various aspects of the theories of rigid C*-tensor categories, quantum groups, and subfactors.  This is based on joint work with Dave Penneys.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons