Haagerup Property for subgroups of SL2 and residually free groups

被引：1
|
作者：
de Cornulier, Yves [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, Inst Geometrie Algebre & Topol, CH-1015 Lausanne, Switzerland
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2006年 / 13卷 / 02期
关键词：
Haagerup Property; residually free groups;
D O I：
10.36045/bbms/1148059468
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we prove that all subgroups of SL (2, R) have the Haagerup Property if R is a commutative reduced ring. This is based on the case when R is a field, recently established by Guentner, Higson, and Weinberger. As an application, residually free groups have the Haagerup Property.
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页码：341 / 343
页数：3
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