A class of superrigid group von Neumann algebras

• Autores: Adrian Ioana, Sorin Popa, Stefaan Vaes
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 178, Nº 1, 2013, págs. 231-286
• Idioma: inglés
• DOI: 10.4007/annals.2013.178.1.4
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that for any group G in a fairly large class of generalized wreath product groups, the associated von Neumann algebra LG completely �remembers� the group G. More precisely, if LG is isomorphic to the von Neumann algebra L? of an arbitrary countable group ?, then ? must be isomorphic to G. This represents the first superrigidity result pertaining to group von Neumann algebras.