A few remarks on mixing properties of $C^*$-dynamical systems

Details A few remarks on mixing properties of $C^*$-dynamical systems A few remarks on mixing properties of $C^*$-dynamical systems

2005-10-16

arxiv.org/abs/math/0510337v1

Rocky Mount. J. Math 37(2007), 1685--1703

Mathematics

Operator Algebras

12 pages. Accepted for publication in Rocky Mount. J. Math

Scientific paper

We consider strictly ergodic and strictly weak mixing $C^*$-dynamical
systems. We prove that the system is strictly weak mixing if and only if its
tensor product is strictly ergodic, moreover strictly weak mixing too. We also
investigate some other mixing properties of the system.

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