“School of Mathematics”
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| Paper IPM / M / 17754 |
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| Abstract: | |
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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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