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We will introduce the Rohlin property for flows on von Neumann algebras and classify them up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as ...
Freeness of Linear and Quadratic Forms in von Neumann Algebras
Free random variables free convolutions a characterization of the semicircle law
2011/2/28
We characterize the semicircular distribution by freeness of linear and qua-dratic forms in noncommutative random variables from tracial W-probability spaces with relaxed moment conditions.
Factoriality, type classification and fullness for free product von Neumann algebras
Factoriality type classification von Neumann algebras
2010/11/24
We give a complete answer to the questions of factoriality, type classification and fullness for arbitrary free product von Neumann algebras
On Monotone product of von Neumann algebras
factor von Neumann algebras monotone product $C^\ast$-algebras GNS construction
2007/12/11
In this note, we give complete descriptions of the structure of the monotone product of two von Neumann algebras and two $C^\ast$-algebras. We show that the monotone product of two simple von Neumann ...
A Property of Weak Convergence of Positive Contractions of Von Neumann Algebras
Positive contraction mixing completely mixing von Neumann algebra
2010/2/26
In the present paper we prove that the mixing property of positive L1-contraction of finite von Neumann algebras implies the property of complete mixing.