Bergelson's theorem for weakly mixing C*-dynamical systems
Rocco Duvenhage
Studia Mathematica, Tome 192 (2009), p. 235-257 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284408 
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     author = {Rocco Duvenhage},
     title = {Bergelson's theorem for weakly mixing C*-dynamical systems},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {235-257},
     zbl = {1181.46052},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-3-3}
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Rocco Duvenhage. Bergelson's theorem for weakly mixing C*-dynamical systems. Studia Mathematica, Tome 192 (2009) pp. 235-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-3-3/