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Operator Algebras in rigid C*-tensor categories

Presented by: 
Corey Jones
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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons