Vol. 34, No. 3, 1970

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ISSN: 0030-8730
Algebraic equivalence of locally normal representations

Masamichi Takesaki

Vol. 34 (1970), No. 3, 807–816
Abstract

It will be shown that (i) the absolute value of every locally normal linear functional is again locally normal; (ii) two locally normal representations π1 and π2 of 𝒜 generate isomorphic von Neumann algebras (π1) and (π2) if and only if there exists an automorphism σ of 𝒜 such that π1 σ and π2 are quasi-equivalent, provided that either (π1) or (π2) is σ-finite.

Mathematical Subject Classification
Primary: 46.65
Milestones
Received: 22 January 1970
Published: 1 September 1970
Authors
Masamichi Takesaki