Examples of non-amenable, boundary-amenable dynamical systems
Abstract
It is proved that for every r,s ∈ N \0,1\ the action of Fr+s on ∂β (Fr+s/Fr) is topologically amenable. In particular the C*-algebra associated to the corresponding quasi-regular representation has a unique non-trivial ideal. The techniques involved rely on a study of dynamical properties for actions on non-standard boundaries studied by the author and F. R adulescu in previous works.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.