A note on the invariant subspace problem relative to a type II1 factor

• Autores: Junsheng Fang, Don Hadwin
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 3, 2011, págs. 879-893
• Idioma: inglés
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• Resumen

  • In this paper we prove that every operator in an ultrapower algebra of a type II1 factor has a continuous family of invariant subspaces. We also show that an ultrapower algebra of the hyperfinite type II1 factor is not *-isomorphic to an ultraproduct of matrix algebras.