Disjointness of C-dynamical systems

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Authors

Duvenhage, Rocco de Villiers
Stroh, Anton

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University of Houston, Houston, Texas

Abstract

We study ergodic theorems for disjoint C*- and W*-dynamical systems, where disjointness here is a noncommutative version of the concept introduced by Furstenberg for classical dynamical systems. We also consider speci c examples of disjoint W*-dynamical systems. Lastly we use unique ergodicity and unique ergodicity relative to the xed point algebra to give examples of disjoint C*-dynamical systems.

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Keywords

C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity

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Citation

Duvenhage, R & Stroh, A 2016, 'Disjointness of C-dynamical systems', Houston Journal of Mathematics, vol. 42, no. 1, pp. 223-247.