scholarly journals Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule

1974 ◽  
Vol 50 (2) ◽  
pp. 309-354 ◽  
Author(s):  
Huzihiro Araki
Keyword(s):  
Von Neumann Algebras ◽  
Chain Rule ◽  
Von Neumann ◽  
Conjugation Operator ◽  
A Chain ◽  
Nikodym Theorem

scholarly journals The Radon-Nikodym theorem for von neumann algebras

1973 ◽  
Vol 130 (0) ◽  
pp. 53-87 ◽  
Author(s):  
Gert K. Pedersen ◽  
Masamichi Takesaki
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann ◽  
Nikodym Theorem

On the Radon-Nikodym Derivative with a Chain Rule in a Von Neumann Algebra

1975 ◽  
Vol 18 (5) ◽  
pp. 661-669 ◽  
Author(s):  
George A. Elliott
Keyword(s):  
Tensor Product ◽  
Von Neumann Algebra ◽  
Chain Rule ◽  
Analytic Vector ◽  
Von Neumann ◽  
A Chain ◽  
Nikodym Derivative ◽  
Technical Simplification

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).

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann
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