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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Alpha-induction for bi-unitary connections

## Alpha-induction for bi-unitary connectionsAdd to your list(s) Download to your calendar using vCal - Yasu Kawahigashi (University of Tokyo)
- Friday 30 June 2023, 11:15-12:15
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. 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. ## This talk is included in these lists:- All CMS events
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