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Paper   IPM / M / 17754
School of Mathematics
  Title:   Faithful actions on generalized Furstenberg boundary
  Author(s):  Zahra Naghavi (Joint with F. Behrouzi)
  Status:   To Appear
  Journal: Proc. Amer. Math. Soc.
  Supported by:  IPM
Let G be a countable discrete group that act mini- mally on a compact Hausdorff space X by homeomorphisms. Our goal is to establish the equivalence between the faithfulness of the action of G on the generalized Furstenberg boundary â??F (G, X) and a weakened version of the generalized Powersâ?? averaging property. This result provides valuable insights into the state space of the crossed product C(X) â??r G.

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