ON THE STRUCTURAL THEORY OF II_1 FACTORS OF NEGATIVELY CURVED GROUPS

Ionut CHIFAN; Thomas SINCLAIR

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ON THE STRUCTURAL THEORY OF II_1 FACTORS OF NEGATIVELY CURVED GROUPS

机译：负弯曲群的II_1因子的结构理论

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Ozawa showed in [21] that for any i. c. c. hyperbolic group, the associated group factor LГ 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 LГ 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.

机译：小泽在[21]中证明了对于任何i。 C。 C。双曲组，相关的组因子LГ是固定的。开发一种结合了Peterson [29]，Ozawa和Popa [27、28]和Ozawa [25]的一些方法的新方法，我们通过证明LГ是牢固的固体来加强这一结果。通过将我们的方法与Ioana的循环超刚度结果配合使用，我们证明Sp（n，1）中n≥2的晶格的有限作用实际上是W *-超刚度。

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《Annales scientifiques de l'Ecole normale superieure》 |2013年第1期|共33页
作者
Ionut CHIFAN; Thomas SINCLAIR;
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正文语种 eng
中图分类自然科学总论;
关键词
STRUCTURAL THEORY; II_1 FACTORS; NEGATIVELY CURVED GROUPS;

机译：结构理论;II_1因素;负弯曲群;

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ON THE STRUCTURAL THEORY OF II_1 FACTORS OF NEGATIVELY CURVED GROUPS

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