This paper addresses a conjecture of Kadison and Kastler that a von Neumannalgebra M on a Hilbert space H should be unitarily equivalent to eachsufficiently close von Neumann algebra N and, moreover, the implementingunitary can be chosen to be close to the identity operator. This is known to betrue for amenable von Neumann algebras and in this paper we describe newclasses of non-amenable factors for which the conjecture is valid. These arebased on tensor products of the hyperfinite II_1 factor with crossed productsof abelian algebras by suitably chosen discrete groups.
展开▼
