On topological full groups of -actions

  • Maksym Chornyi

    Northwestern University, Evanston, USA
  • Kate Juschenko

    University of Texas at Austin, USA
  • Volodymyr V. Nekrashevych

    Texas A&M University, College Station, USA
On topological full groups of $\mathbb Z^d$-actions cover
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We give new examples of simple finitely generated groups arising from actions of free abelian groups on the Cantor sets. As particular examples, we discuss groups of interval exchange transformations, and a group naturally associatedwith the Penrose tilings. Many groups in this class are amenable.

Cite this article

Maksym Chornyi, Kate Juschenko, Volodymyr V. Nekrashevych, On topological full groups of -actions. Groups Geom. Dyn. 14 (2020), no. 1, pp. 61–79

DOI 10.4171/GGD/534