A generalized powers averaging property for commutative crossed products

@inproceedings{Amrutam2021AGP,
  title={A generalized powers averaging property for commutative crossed products},
  author={Tattwamasi Amrutam and Dan Ursu},
  year={2021}
}
We prove a generalized version of Powers’ averaging property that characterizes simplicity of reduced crossed products C(X) ⋊λ G, where G is a countable discrete group, and X is a compact Hausdorff space which G acts on minimally by homeomorphisms. As a consequence, we generalize results of Hartman and Kalantar on unique stationarity to the state space of C(X) ⋊λ G and to Kawabe’s generalized space of amenable subgroups Suba(X, G). This further lets us generalize a result of the first named… 
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