Relatively independent joinings and subsystems of W*-dynamical systems

Rocco Duvenhage

Studia Mathematica (2012)

  • Volume: 209, Issue: 1, page 21-41
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Rocco Duvenhage. "Relatively independent joinings and subsystems of W*-dynamical systems." Studia Mathematica 209.1 (2012): 21-41. <http://eudml.org/doc/285436>.

@article{RoccoDuvenhage2012,
abstract = {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.},
author = {Rocco Duvenhage},
journal = {Studia Mathematica},
keywords = {-dynamical systems; relatively independent joinings; subsystems; relative ergodicity},
language = {eng},
number = {1},
pages = {21-41},
title = {Relatively independent joinings and subsystems of W*-dynamical systems},
url = {http://eudml.org/doc/285436},
volume = {209},
year = {2012},
}

TY - JOUR
AU - Rocco Duvenhage
TI - Relatively independent joinings and subsystems of W*-dynamical systems
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 1
SP - 21
EP - 41
AB - 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.
LA - eng
KW - -dynamical systems; relatively independent joinings; subsystems; relative ergodicity
UR - http://eudml.org/doc/285436
ER -

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