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Borel Reductibility and Classification of von Neumann Algebras

Published online by Cambridge University Press:  15 January 2014

Román Sasyk  and
Asger Törnquist
Román Sasyk
Affiliation:
Instituto de Ciencias, Universidad Nacional de General Sarmiento, J. M. Gutierrez 1150, (1613) Los Polvorines, Argentinaand Instituto Argentino de Matemáticas-Conicet, Saavedra 15, Piso 3, (1083) Buenos Aires, Argentina, E-mail: [email protected]
Asger Törnquist
Affiliation:
Kurt Gödel Research Center, University of Vienna, Währinger Strasse 25, 1090 Vienna, AustriaE-mail: [email protected]
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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.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 15 , Issue 2 , June 2009 , pp. 169 - 183
Copyright
Copyright © Association for Symbolic Logic 2009

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