2005arXiv (Cornell University)Open access

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

Farrukh Maksutovich Mukhamedov, Seyi̇t Temir

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Abstract

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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What this paper is about

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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Available abstract

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.

Key concepts: Mixing (physics), Statistical physics, Mathematics, Physics, Quantum mechanics

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