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Bicommutant categories

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OASW03 - Subfactors, K-theory and conformal field theory

Bicommutant categories are higher categorical analogs of von Neumann algebras. There exist currently two sources of examples of bicommutant categories: unitary fusion categories, and completely rational unitary conformal field theories.

I will give a general introduction on what and why bicommutant categories are. Then I will talk about a recent result with Dave Penneys: Morita equivalent unitary fusion categories have isomorphic associated bicommutant categories.

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

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