Bergelson's theorem for weakly mixing $C^*$-dynamical systems
Volume 192 / 2009
Studia Mathematica 192 (2009), 235-257
MSC: Primary 46L55.
DOI: 10.4064/sm192-3-3
Abstract
We study a nonconventional ergodic average for asymptotically abelian weakly mixing $C^*$-dynamical systems, related to a second iteration of Khinchin's recurrence theorem obtained by Bergelson in the measure-theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.
