Bergelson's Theorem for weakly mixing C*-dynamical systems
Operator Algebras
2009-06-22 v1
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.
Cite
@article{arxiv.math/0611310,
title = {Bergelson's Theorem for weakly mixing C*-dynamical systems},
author = {Rocco Duvenhage},
journal= {arXiv preprint arXiv:math/0611310},
year = {2009}
}
Comments
26 pages