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YMSC-BIMSA量子信息讨论班
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
组织者
演讲者
Yasu Kawahigashi
时间
2022年03月25日 09:30 至 12:15
地点
JCY-1
线上
Zoom 388 528 9728
(BIMSA)
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.