Bergelson's Theorem for weakly mixing C*-dynamical systems
arXiv:math/0611310 · 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 Khintchine's recurrence theorem obtained by Bergelson in the measure theoretic case. A noncommutative recurrence theorem for such systems is obtained as a corollary.
26 pages