A Kurosh type theorem for type II_1 factors

Narutaka Ozawa

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A Kurosh type theorem for type II_1 factors

Narutaka Ozawa

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Abstract

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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Narutaka Ozawa. 2004-01-12. A Kurosh type theorem for type II_1 factors. https://arxiv.org/abs/math/0401121

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