On a composition of subfactors with group subfactors

被引：0
|
作者：
Xiaoyu Hu
Rui Shi
Feng Xu
机构：
[1] Dalian University of Technology,School of Mathematical Sciences
[2] Foshan University,Department of Mathematics
[3] University of California at Riverside,Department of Mathematics
来源：
Science China Mathematics | 2021年 / 64卷
关键词：
subfactor; II; factor; lattice; 46L37;
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学科分类号：
摘要：
Let M be a type II1 factor, G be a finite group, and N ⊆ M be an irreducible subfactor of finite index. We prove that the composed lattice of the intermediate subfactor lattice for the inclusion N ⊆ M and the subgroup lattice of G can be realized as an intermediate subfactor lattice of a certain composed subfactor of finite index, and this subfactor also has finite depth when N ⊆ M has finite depth.
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页码：373 / 384
页数：11
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