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.

引用

页码：4525 / 4533

页数：9

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