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Borel reducibility and classification of von Neumann algebras

Authors :
Sasyk, Roman
Tornquist, Asger
Source :
The Bulletin of Symbolic Logic, Volume 15, Number 2, June 2009, pp. 169 - 183
Publication Year :
2009

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.

Subjects

Subjects :
Mathematics - Logic
Mathematics - Operator Algebras
03E15, 46L36, 37A15

Details

Database :
arXiv
Journal :
The Bulletin of Symbolic Logic, Volume 15, Number 2, June 2009, pp. 169 - 183
Publication Type :
Report
Accession number :
edsarx.0909.2657
Document Type :
Working Paper
Full Text :
https://doi.org/10.2178/bsl/1243948485
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