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Alpha-induction for bi-unitary connections

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OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications

The tensor functor called alpha-induction arises from a Q-system in a braided unitary fusion category. In the operator algebraic language, it gives extensions of endomorphism of N to M arising from a subfactor N in M of finite index and finite depth with a braided fusion category of endomorphisms of N. We study this alpha-induction for bi-unitary connections, which are 4-tensors characterize finite-dimensional nondegenerate commuting squares. We show that the resulting alpha-induced bi-unitary connections are flat if we start from a local Q-system.

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

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