Non-classification of free Araki-Woods factors and τ-invariants
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 gr...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/108135 |
| Acceso en línea: | http://hdl.handle.net/11336/108135 |
| Access Level: | acceso abierto |
| Palabra clave: | CLASSIFICATION OF FACTORS AND THEIR AUTOMORPHIMS AUTOMORPHISMS DESCRIPTIVE SET THEORY FOURIER ANALYSIS ON LOCALLY COMPACT ABELIAN GROUPS VON NEUMANN ALGEBRAS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | 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. |
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