2024/04/20 by F. Behrouzi, Behrouzi, Farid, Zahra Naghavi +1
Engineering · Mathematics · Computer Science · #Advanced Numerical Analysis Techniques #Geometric Analysis and Curvature Flows #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2404.13436
Let G be a countable discrete group that act minimally 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 ∂F(G, X) and a weakened version of the generalized Powers' averaging property. This result provides valuable insights into the state space of the crossed product C(X)\rtimesrG.