Relatively independent joinings and subsystems of W*-dynamical systems

Tom 209 / 2012

Rocco Duvenhage Studia Mathematica 209 (2012), 21-41 MSC: Primary 46L55. DOI: 10.4064/sm209-1-3

Streszczenie

Relatively independent joinings of W*-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 point subsystems and compact subsystems. This allows us to obtain characterizations of weak mixing and relative ergodicity, as well as of certain compact subsystems, in terms of joinings.

Autorzy

  • Rocco DuvenhageDepartment of Physics
    University of Pretoria
    Pretoria 0002
    South Africa
    e-mail

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