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Spin model subfactors

Quantum Algebra & Quantum Topology Seminar
November 2, 2021
2:00 pm - 3:00 pm
Zoom

Title:  Spin model subfactors

Speaker:  Michael Montgomery (Vanderbilt University)

Abstract:  Complex Hadamard matrices generate a class of irreducible hyperfinite subfactors with integer Jones index coming from spin model commuting squares. I will prove a theorem that establishes a criterion implying that these subfactors have infinite depth. I then show that Paley type II and Petrescu's continuous family of Hadamard matrices yield infinite depth subfactors. Furthermore, infinite depth subfactors are a generic feature of continuous families of complex Hadamard matrices. In this talk I will present an outline for the proof of these results.
 

 

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Seminar - Quantum Algebra & Quantum Topology