Disjointness of C-dynamical systems
06 May 2016We 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.
| Authors: | Duvenhage, Rocco de Villiers, Stroh, Anton |
| Institution: | University of Pretoria |
| Keywords: | C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity, C*-Dynamical systems, W*-Dynamical systems, Joinings, Disjointness, Unique ergodicity, Relative unique ergodicity |