The Kakutani theorem for tensor products of<i>W</i>^∗-algebras

Abstract

In a recent paper Bures proved a result concerning: the classification of tensor products of a family of semi-finite W*-algebra,s and showed that it constituted a non-commutative extension of the main part of Kakutani's theorem on infinite product measures. In this paper these results are extended, first by removing the semi-finiteness restriction, and secondly hy completing the analogy with Kakutani's Theorem.