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Operator Algebras in rigid C*-tensor categories

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OASW01 - Structure of operator algebras: subfactors and fusion categories

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.

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

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