Solid von Neumann Algebras

Narutaka Ozawa

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Solid von Neumann Algebras

Narutaka Ozawa

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Abstract

We prove that the relative commutant of a diffuse von Neumann subalgebra in a hyperbolic group von Neumann algebra is always injective. It follows that any non-injective subfactor in a hyperbolic group von Neumann algebra is non-Gamma and prime. The proof is based on C*-algebra theory.

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Narutaka Ozawa. 2003-02-24. Solid von Neumann Algebras. https://arxiv.org/abs/math/0302082

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