Ergodicity and mixing of W*-dynamical systems in terms of joinings

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Duvenhage, Rocco de Villiers

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Department of Mathematics, University of Illinois

Abstract

We study characterizations of ergodicity, weak mixing and strong mixing of W*-dynamical systems in terms of joinings and subsystems of such systems. Ergodic joinings and Ornstein’s criterion for strong mixing are also discussed in this context.

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Ergodicity, Weak mixing, Quantum group duals, Strong mixing, W*-dynamical systems, Joinings

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Duvenhage, R 2011, 'Ergodicity and mixing of W*-dynamical systems in terms of joinings', Illinois Journal of Mathematics, vol. 54, no. 2, pp. 543-566.