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dc.contributor.author
Sasyk, Roman  
dc.contributor.author
Törnquist, Asger  
dc.date.available
2017-07-04T17:55:13Z  
dc.date.issued
2008-12  
dc.identifier.citation
Sasyk, Roman; Törnquist, Asger; The classification problem for von Neumann factors; Elsevier; Journal Of Functional Analysis; 256; 8; 12-2008; 2710-2724  
dc.identifier.issn
0022-1236  
dc.identifier.uri
http://hdl.handle.net/11336/19477  
dc.description.abstract
We prove that it is not possible to classify separable von Neumann factors of types II1, II∞ or IIIλ, 0 λ 1, up to isomorphism by a Borel measurable assignment of “countable structures” as invariants. In particular the isomorphism relation of type II1 factors is not smooth. We also prove that the isomorphism relation for von Neumann II1 factors is analytic, but is not Borel.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Von Neumann Algebras  
dc.subject
Classification  
dc.subject
Borel Reducibility  
dc.subject
Turbulence  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The classification problem for von Neumann factors  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-03T16:50:36Z  
dc.journal.volume
256  
dc.journal.number
8  
dc.journal.pagination
2710-2724  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Sasyk, Roman. University of Ottawa; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina  
dc.description.fil
Fil: Törnquist, Asger. University of Toronto; Canadá  
dc.journal.title
Journal Of Functional Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022123608005028  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jfa.2008.11.010  

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