Disjointness of C-dynamical systems

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.