Borel reducibility and classification of von Neumann algebras

Bulletin of Symbolic Logic 15 (2):169-183 (2009)
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Abstract

We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras

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Stability of nilpotent groups of class 2 and prime exponent.Alan H. Mekler - 1981 - Journal of Symbolic Logic 46 (4):781-788.
Hyperlinear and sofic groups: a brief guide.Vladimir G. Pestov - 2008 - Bulletin of Symbolic Logic 14 (4):449-480.
Orbit Equivalence and Actions of Fn.Asger Törnquist - 2006 - Journal of Symbolic Logic 71 (1):265 - 282.
Orbit equivalence and actions of.Asge Törnquist - 2006 - Journal of Symbolic Logic 71 (1):265-282.

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