Solid von Neumann Algebras

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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.
6 pages. Minor Correction

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Operator Algebras, Primary 46L10; Secondary 20F67

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http://salesiana.dossiersoluciones.com/handle/123456789/66470

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302082
 http://arxiv.org/abs/math/0302082

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arXiv