Compact actions and uniqueness of the group measure space decomposition of II1 factors

被引：5
|
作者：
Ioana, Adrian [1 ]
机构：
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2012年 / 262卷 / 10期
关键词：
II1; factor; Group measure space construction; Cartan subalgebra; Compact action; MALLEABLE ACTIONS; SUPERRIGIDITY;
D O I：
10.1016/j.jfa.2012.03.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
preserving action of a countable group Gamma with positive first l(2)-Betti number, beta((2))(1) (Gamma) > 0, has a uniqueWe prove that any II1 factor L-infinity (X) x Gamma arising from a compact, free, ergodic, probability measure group measure space Cartan subalgebra, up to unitary conjugacy. (C) 2012 Elsevier Inc. All rights reserved.
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页码：4525 / 4533
页数：9
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