Bergelson's Theorem for weakly mixing C*-dynamical systems

Details Bergelson's Theorem for weakly mixing C*-dynamical systems Bergelson's Theorem for weakly mixing C*-dynamical systems

2006-11-10

arxiv.org/abs/math/0611310v1

Studia Math. 192 (2009), 235-257

Mathematics

Operator Algebras

26 pages

Scientific paper

10.4064/sm192-3-3

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.

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