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YMSC-BIMSA Quantum Information Seminar
A characterization of a finite-dimensional commuting square producing a subfactor of finite depth
A characterization of a finite-dimensional commuting square producing a subfactor of finite depth
Organizer
Speaker
Yasu Kawahigashi
Time
Friday, March 25, 2022 9:30 AM - 12:15 PM
Venue
JCY-1
Online
Zoom 388 528 9728
(BIMSA)
Abstract
We give a characterization of a finite-dimensional commuting square of C*-algebras that produces a hyperfinite type II_1 subfactor of finite index and finite depth in terms of Morita equivalent unitary fusion categories. This type of commuting squares were studied by N. Sato, and we show that a slight generalization of his construction covers the fully general case of such commuting squares. We also give a characterization of such a commuting square that produces a given hyperfinite type II_1 subfactor of finite index and finite depth.