Bulletin of Symbolic Logic

Borel reducibility and classification of von Neumann algebras

Román Sasyk and Asger Törnquist
Source: Bull. Symbolic Logic Volume 15, Issue 2 (2009), 169-183.

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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bsl/1243948485
Digital Object Identifier: doi:10.2178/bsl/1243948485
Zentralblatt MATH identifier: 05566110
Mathematical Reviews number (MathSciNet): MR2535428


2012 © Association for Symbolic Logic

Bulletin of Symbolic Logic

Bulletin of Symbolic Logic