Borel reductibility and classification of von neumann algebras

We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras.

Detalhes bibliográficos
Autores: Sasyk, Roman, Törnquist, Asger
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2009
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/88442
Acesso em linha:http://hdl.handle.net/11336/88442
Access Level:acceso abierto
Palavra-chave:BOREL REDUCIBILITY
VON NEUMANN ALGEBRAS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We announce some new results regarding the classification problem for separable von Neumann algebras. Our results are obtained by applying the notion of Borel reducibility and Hjorth's theory of turbulence to the isomorphism relation for separable von Neumann algebras.