arXiv 0803.21472008-03math.OA

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

Rocco Duvenhage

备注：: v1: 9 pages. v2: Extended by 2 sections (Sections 3 and 5), with small changes/corrections elsewhere and a more descriptive title; 22 pages. v3: Improved results in Sections 4 and 5; 24 pages
发表信息：: Illinois J. Math. 54 (2010), 543-566

英文摘要：

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.

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