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Noncommutative extensions of classical and multiple recurrence theorems
The aim of this paper is to extend the classical recurrence the- orem of A.Y. Khintchine, as well as certain multiple recurrence results of H. Furstenberg concerning weakly mixing and almost periodicExpand
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The Commutation Theorem for Tensor Products over von Neumann Algebras
Abstract A general commutation theorem is proved for tensor products of von Neumann algebras over common von Neumann subalgebras. Roughly speaking, if the non-common parts of two von Neumann algebrasExpand
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Spectral and ergodic properties of the analytic generators
Abstract In this paper similarity situations between one-parameter groups of operators are characterized in terms of analytic generators and spectral subspaces, and ergodic properties ofExpand
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Lectures on von Neumann algebras
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Extension of the Structure Theorem of Borchers and its Application to Half-Sided Modular Inclusions
A result of H.-W. Wiesbrock is extended from the case of a common cyclic and separating vector for the half-sided modular inclusion N ⊂ M of von Neumann algebras to the case of a common faithfulExpand
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Maximal subalgebras of C*-algebras associated with periodic flows
We find necessary and sufficient conditions for the subalgebra of analytic elements associated with a periodic C*-dynamical system to be a maximal norm-closed subalgebra. Our conditions are in termsExpand
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Weak Mixing Properties of Vector Sequences
Notions of weak and uniformly weak mixing (to zero) are defined for bounded sequences in arbitrary Banach spaces. Uniformly weak mixing for vector sequences is characterized by mean ergodicExpand
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