Illinois Journal of Mathematics

Ergodicity and mixing of W*-dynamical systems in terms of joinings

Rocco Duvenhage

Full-text: Open access

Abstract

We study characterizations of ergodicity, weak mixing and strong mixing of W*-dynamical systems in terms of joinings and subsystems of such systems. Ergodic joinings and Ornstein’s criterion for strong mixing are also discussed in this context.

Article information

Source
Illinois J. Math., Volume 54, Number 2 (2010), 543-566.

Dates
First available in Project Euclid: 14 October 2011

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1318598672

Digital Object Identifier
doi:10.1215/ijm/1318598672

Mathematical Reviews number (MathSciNet)
MR2846473

Zentralblatt MATH identifier
1235.46065

Subjects
Primary: 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]

Citation

Duvenhage, Rocco. Ergodicity and mixing of W*-dynamical systems in terms of joinings. Illinois J. Math. 54 (2010), no. 2, 543--566. doi:10.1215/ijm/1318598672. https://projecteuclid.org/euclid.ijm/1318598672


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