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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.
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 -