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[YMSC-BIMSA Quantum Information Seminar] 27 A characterization of a finite-dimensional commuting square producing a subfactor of finite depth

来源: 03-25

时间:2022/3/25 周五 9:30-12:15

地点:近春园西楼1会 & Zoom: 388 528 9728(PW: BIMSA)

组织者:刘正伟

主讲人:Yasu Kawahigashi

摘要:  

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.



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