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Browsing by Author "Duvenhage, Rocco de Villiers"

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Browsing by Author "Duvenhage, Rocco de Villiers"

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  • Ergodicity and mixing of W*-dynamical systems in terms of joinings
    Duvenhage, Rocco de Villiers (Department of Mathematics, University of Illinois, 2011)
    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 ...
  • Free joinings of C-dynamical systems
    Duvenhage, Rocco de Villiers (Elsevier, 2010-04)
    Joinings of C∗-dynamical systems are defined in terms of free products of C∗-algebras, as an analogue of joinings of classical dynamical systems. We then consider disjointness in this context, in particular for ergodic ...
  • Relatively independent joinings and subsystems of W*-dynamical systems
    Duvenhage, Rocco de Villiers (Polskiej Akademii Nauk, Instytut Matematyczny, 2012)
    Relatively independent joinings ofW*-dynamical systems are constructed. This is intimately related to subsystems of W*-dynamical systems, and therefore we also study general properties of subsystems, in particular fixed ...