22 citations · 37 across the 6 of their papers we have counts for
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Joinings of W*-dynamical systems
Rocco Duvenhage
We study the notion of joinings of W*-dynamical systems, building on ideas from measure theoretic ergodic theory. In particular we prove sufficient and necessary conditions for erg…
A mean ergodic theorem for actions of amenable quantum groups
Rocco Duvenhage
We prove a weak form of the mean ergodic theorem for actions of amenable locally compact quantum groups in the von Neumann algebra setting.
Bergelson's Theorem for weakly mixing C*-dynamical systems
Rocco Duvenhage
We study a nonconventional ergodic average for asymptotically abelian weakly mixing C*-dynamical systems, related to a second iteration of Khintchine's recurrence theorem obtained…
The Szemeredi property for compact C*-dynamical systems
Conrad Beyers, Rocco Duvenhage, Anton Stroh
Furstenberg's multiple recurrence result for measure theoretic dynamical systems is proved for compact C*-dynamical systems for which the evolution is given by a semigroup with the…