On the structural theory of $\rm II_1$ factors of negatively curved groups

Details On the structural theory of $\rm II_1$ factors of negatively curved groups On the structural theory of $\rm II_1$ factors of negatively curved groups

2011-03-22

arxiv.org/abs/1103.4299v2

Mathematics

Operator Algebras

A new result is added. Submitted for publication

Scientific paper

Ozawa showed that for any i.c.c., hyperbolic group, the associated group factor is solid. Developing a new approach that combines some methods of Peterson, Ozawa and Popa, and Ozawa, we strengthen this result by showing that these factors are strongly solid. Using our methods in cooperation with a cocycle superrigidity result of Ioana, we show that profinite actions of lattices in Sp(n,1), n>1, are virtually W*-superrigid.

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