Anomalous symmetries on operator algebras

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October 4, 2022
1:50PM - 2:45PM
Location
MW 154

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Add to Calendar 2022-10-04 13:50:00 2022-10-04 14:45:00 Anomalous symmetries on operator algebras Title:  Anomalous symmetries on operator algebras Speaker:  Sergio Giron Pacheco (University of Oxford) Abstract:  An anomalous action on an operator algebra A is a mapping from a group G to the automorphism group of A, which is multiplicative up to inner automorphisms of A. Anomalous symmetries can be rephrased as actions of pointed fusion categories on A. Starting from the basics, I will introduce anomalous actions and discuss some history of their study in the literature. I will then discuss their existence and classification on simple C*-algebras. MW 154 Department of Mathematics math@osu.edu America/New_York public
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Title:  Anomalous symmetries on operator algebras

Speaker:  Sergio Giron Pacheco (University of Oxford)

Abstract:  An anomalous action on an operator algebra A is a mapping from a group G to the automorphism group of A, which is multiplicative up to inner automorphisms of A. Anomalous symmetries can be rephrased as actions of pointed fusion categories on A. Starting from the basics, I will introduce anomalous actions and discuss some history of their study in the literature. I will then discuss their existence and classification on simple C*-algebras.

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