Quotients by countable normal subgroups are hyperfinite

被引：0
|
作者：
Frisch, Joshua [1 ,2 ]
Shinko, Forte [1 ,3 ]
机构：
[1] CALTECH, Dept Math, 1200 E Calif Blvd, Pasadena, CA 91125 USA
[2] PSL Res Univ, Ecole Normale Super, CNRS, 45 Rue Ulm, F-75005 Paris, France
[3] Univ Calif Los Angeles UCLA, Dept Math, 520 Portola Plaza, Los Angeles, CA 90095 USA
来源：
GROUPS GEOMETRY AND DYNAMICS | 2023年 / 17卷 / 03期
关键词：
Descriptive set theory; Borel equivalence relation; Polish group; hyperfinite; EQUIVALENCE; ISOMORPHISM;
D O I：
10.4171/GGD/719
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for any Polish group G and any countable normal subgroup r G G, the coset equivalence relation G/ & UGamma; is a hyperfinite Borel equivalence relation. In particular, the outer automorphism group of any countable group is hyperfinite.
引用
收藏
页码：985 / 992
页数：8
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