• Corpus ID: 119141094

Uniformly recurrent subgroups and the ideal structure of reduced crossed products

@article{Kawabe2017UniformlyRS,
  title={Uniformly recurrent subgroups and the ideal structure of reduced crossed products},
  author={Takuya Kawabe},
  journal={arXiv: Operator Algebras},
  year={2017}
}
  • Takuya Kawabe
  • Published 12 January 2017
  • Mathematics
  • arXiv: Operator Algebras
We study the ideal structure of reduced crossed product of topological dynamical systems of a countable discrete group. More concretely, for a compact Hausdorff space $X$ with an action of a countable discrete group $\Gamma$, we consider the absence of a non-zero ideals in the reduced crossed product $C(X) \rtimes_r \Gamma$ which has a zero intersection with $C(X)$. We characterize this condition by a property for amenable subgroups of the stabilizer subgroups of $X$ in terms of the Chabauty… 
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