On a composition of subfactors with group subfactors  

作　　者：Xiaoyu Hu Rui Shi Feng Xu 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China [2]Department of Mathematics,Foshan University,Foshan 528225,China [3]Department of Mathematics,University of California at Riverside,Riverside,CA 92521,USA

出　　处：《Science China Mathematics》2021年第2期373-384,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11871130);the Fundamental Research Funds for the Central Universities of China(Grant No.DUT18LK23);supported by National Natural Science Foundation of China(Grant No.11871150)。

摘　　要：Let M be a typeⅡ1 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.

关 键 词：SUBFACTOR typeⅡ1 factor LATTICE 

分 类 号：O152.1[理学—数学]