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

页码：249 / 261

页数：13

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