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

Rocco Duvenhage
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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.

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Rocco Duvenhage. 2006-11-10. Bergelson's Theorem for weakly mixing C*-dynamical systems. https://doi.org/10.4064/sm192-3-3

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