Vol. 36, No. 2, 1971

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The Kakutani theorem for tensor products of W-algebras

David S. Promislow

Vol. 36 (1971), No. 2, 507–514
Abstract

In a recent paper Bures proved a result concerning the classification of tensor products of a family of semi-finite W-algebras 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 by completing the analogy with Kakutani’s Theorem.

Mathematical Subject Classification
Primary: 46.65
Milestones
Received: 19 May 1970
Published: 1 February 1971
Authors
David S. Promislow