ON THE STRUCTURAL THEORY OF II1 FACTORS OF NEGATIVELY CURVED GROUPS

被引：0
|
作者：
Chifan, Ionut [1 ,2 ]
Sinclair, Thomas [1 ]
机构：
[1] Vanderbilt Univ, Dept Math, Stevenson Ctr 1326, Nashville, TN 37240 USA
[2] IMAR, Bucharest, Romania
来源：
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2013年 / 46卷 / 01期
基金：
美国国家科学基金会;
关键词：
BOUNDED COHOMOLOGY; COCYCLE SUPERRIGIDITY; EQUIVALENCE RIGIDITY; EXACTNESS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Ozawa showed in [21] that for any i.c.c, hyperbolic group, the associated group factor L Gamma is solid. Developing a new approach that combines some methods of Peterson [29], Ozawa and Popa [27, 28], and Ozawa [25], we strengthen this result by showing that LP is strongly solid. Using our methods in cooperation with a cocycle superrigidity result of Ioana [12], we show that profinite actions of lattices in Sp (n, 1), n >= 2, are virtually W*-superrigid.
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页码：1 / 33
页数：33
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