Geodesic
On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 661-669

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to show that by a reorganization of the proofs of the main results concerning Radon-Nikodym derivatives in a von Neumann algebra of Pedersen and Takesaki in [12] and of Connes in paragraphs 1.1 and 1.2 of [5], considerable technical simplification can be achieved. Roughly speaking, the analytic vector techniques developed by these authors for the study of weights on a von Neumann algebra can be replaced, to a large extent, by the tensor product methods introduced by Connes, which are essentially algebraic in nature. In the exposition which follows, analytic vectors are not used at all (see, however, 4.4). 
Elliott, George A. On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 661-669. doi: 10.4153/CMB-1975-116-1
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