3 papers
math.OA2008★ 22 cited
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…
math.OA2006★ 11 cited
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…
math.OA2006
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…