Artículo

Non-classification of free Araki-Woods factors and τ-invariants

Sasyk, RomanIcon ; Törnquist, Asger; Vaes, Stefan
Fecha de publicación: 09/2019
Editorial: European Mathematical Society
Revista: Groups Geometry And Dynamics
ISSN: 1661-7207
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: CLASSIFICATION OF FACTORS AND THEIR AUTOMORPHIMS , AUTOMORPHISMS , DESCRIPTIVE SET THEORY , FOURIER ANALYSIS ON LOCALLY COMPACT ABELIAN GROUPS , VON NEUMANN ALGEBRAS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/108135
URL: https://www.ems-ph.org/journals/show_abstract.php?issn=1661-7207&vol=13&iss=4&ra
DOI: http://dx.doi.org/10.4171/GGD/520
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
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
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