A Kurosh type theorem for type II_1 factors

Details A Kurosh type theorem for type II_1 factors A Kurosh type theorem for type II_1 factors

2004-01-12

arxiv.org/abs/math/0401121v3

Int. Math. Res. Not., Volume 2006, Article ID97560

Mathematics

Operator Algebras

18 pages. Final version

Scientific paper

We prove a Kurosh type theorem for free-product type II_1 factors. In
particular, if M = LF_2 \otimes R, then the free-product type II_1 factors
M*...*M are all prime and pairwise non-isomorphic. This paper is a continuation
of [N. Ozawa, Solid von Neumann algebras] and [N. Ozawa and S. Popa, Some prime
factorization results for type II_1 factors].

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