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dc.contributor.author
Sasyk, Roman  
dc.contributor.author
Törnquist, Asger  
dc.contributor.author
Vaes, Stefan  
dc.date.available
2020-06-24T20:11:00Z  
dc.date.issued
2019-09  
dc.identifier.citation
Sasyk, Roman; Törnquist, Asger; Vaes, Stefan; Non-classification of free Araki-Woods factors and τ-invariants; European Mathematical Society; Groups Geometry And Dynamics; 13; 4; 9-2019; 1219-1234  
dc.identifier.issn
1661-7207  
dc.identifier.uri
http://hdl.handle.net/11336/108135  
dc.description.abstract
We define the standard Borel space of free Araki-Woods factors and prove that their isomorphism relation is not classifiable by countable structures. We also prove that equality of τ-topologies, arising as invariants of type III factors, as well as coycle and outer conjugacy of actions of abelian groups on free product factors are not classifiable by countable structures.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
European Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CLASSIFICATION OF FACTORS AND THEIR AUTOMORPHIMS  
dc.subject
AUTOMORPHISMS  
dc.subject
DESCRIPTIVE SET THEORY  
dc.subject
FOURIER ANALYSIS ON LOCALLY COMPACT ABELIAN GROUPS  
dc.subject
VON NEUMANN ALGEBRAS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Non-classification of free Araki-Woods factors and τ-invariants  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-05-27T16:34:16Z  
dc.journal.volume
13  
dc.journal.number
4  
dc.journal.pagination
1219-1234  
dc.journal.pais
Suiza  
dc.journal.ciudad
Zürich  
dc.description.fil
Fil: Sasyk, Roman. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Katholikie Universiteit Leuven; Bélgica. Universidad de Copenhagen; Dinamarca  
dc.description.fil
Fil: Törnquist, Asger. University of Copenhagen. Department of Mathematics; Dinamarca  
dc.description.fil
Fil: Vaes, Stefan. Katholikie Universiteit Leuven; Bélgica  
dc.journal.title
Groups Geometry And Dynamics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ems-ph.org/journals/show_abstract.php?issn=1661-7207&vol=13&iss=4&rank=4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4171/GGD/520  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1708.07496  

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