Title: A Radon-Nikodym theorem for von Neumann algebras
Authors: Vaes, Stefaan # ×
Issue Date: 2001
Publisher: Theta foundation
Series Title: Journal of operator theory vol:46 issue:3 pages:477-489
Abstract: In this paper we present a generalization of the Radon-Nikodym theorem proved by Pedersen and Takesaki in [7]. Given a normal, semifinite and faithful (n.s.f.) weight phi on a von Neumann algebra M and a strictly positive operator delta, affiliated with M and satisfying a certain relative invariance property with respect to the modular automorphisin group sigma(rho) of phi, with a strictly positive operator as the invariance factor, we construct the n.s.f. weight phi(delta1/2. delta1/2). All the n.s.f. weights on M whose modular automorphisins commute with sigma(rho) are of this form, the invariance factor being affiliated with the centre of M the n.s.f, weights which axe relatively invariant under sigma(phi) are of this form, the invariance factor being a scalar.
ISSN: 0379-4024
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Analysis Section
× corresponding author
# (joint) last author

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