Bulletin of Symbolic Logic

Borel reducibility and classification of von Neumann algebras

Román Sasyk and Asger Törnquist

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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.

Article information

Source
Bull. Symbolic Logic, Volume 15, Issue 2 (2009), 169-183.

Dates
First available in Project Euclid: 2 June 2009

Permanent link to this document
https://projecteuclid.org/euclid.bsl/1243948485

Digital Object Identifier
doi:10.2178/bsl/1243948485

Mathematical Reviews number (MathSciNet)
MR2535428

Zentralblatt MATH identifier
1171.03026

Citation

Sasyk, Román; Törnquist, Asger. Borel reducibility and classification of von Neumann algebras. Bull. Symbolic Logic 15 (2009), no. 2, 169--183. doi:10.2178/bsl/1243948485. https://projecteuclid.org/euclid.bsl/1243948485


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