ON SUBFACTORS ARISING FROM ASYMPTOTIC REPRESENTATIONS OF SYMMETRIC GROUPS

被引：0
|
作者：
Yamashita, Makoto [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 01期
关键词：
Subfactor; symmetric group; asymptotic representation; CHARACTERS; INDEX;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the infinite symmetric group and its infinite index subgroup given as the stabilizer subgroup of one element under the natural action on a countable set. This inclusion of discrete groups induces a hyperfinite subfactor for each finite factorial representation of the larger group. We compute subfactor invariants of this construction in terms of the Thoma parameter.
引用
收藏
页码：249 / 261
页数：13
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