The classification problem for von Neumann factors

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dc.creatorSasyk, Roman
dc.creatorTornquist, Asger
dc.date2009-03-25
dc.date.accessioned2026-07-07T12:56:58Z
dc.date.available2026-07-07T12:56:58Z
dc.descriptionWe prove that it is not possible to classify separable von Neumann factors of types $\II_1$, $\II_\infty$ or $\III_λ$, $0\leq λ\leq1$, up to isomorphism by a Borel measurable assignment of "countable structures" as invariants. In particular the isomorphism relation of type $\II_1$ factors is not smooth. We also prove that the isomorphism relation for von Neumann $\II_1$ factors is analytic, but is not Borel.
dc.descriptionTo appear in the Journal of Functional Analysis
dc.identifierhttps://arxiv.org/abs/0903.4484
dc.identifierhttp://arxiv.org/abs/0903.4484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224769
dc.subjectOperator Algebras
dc.subjectLogic
dc.titleThe classification problem for von Neumann factors
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