Relatively independent joinings and subsystems of W*-dynamical systems
Studia Mathematica, Tome 209 (2012) no. 1, pp. 21-41

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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.
DOI : 10.4064/sm209-1-3
Keywords: relatively independent joinings w* dynamical systems constructed intimately related subsystems w* dynamical systems therefore study general properties subsystems particular fixed point subsystems compact subsystems allows obtain characterizations weak mixing relative ergodicity certain compact subsystems terms joinings

Rocco Duvenhage 1

1 Department of Physics University of Pretoria Pretoria 0002 South Africa
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Rocco Duvenhage. Relatively independent joinings and subsystems of W*-dynamical systems. Studia Mathematica, Tome 209 (2012) no. 1, pp. 21-41. doi: 10.4064/sm209-1-3

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