English

Free minimal actions of solvable Lie groups which are not affable

Dynamical Systems 2020-09-18 v1

Abstract

We construct an uncountable family of transversely Cantor laminations of compact spaces defined by free minimal actions of solvable groups, which are not affable and whose orbits are not quasi-isometric to Cayley graphs.

Keywords

Cite

@article{arxiv.2009.07931,
  title  = {Free minimal actions of solvable Lie groups which are not affable},
  author = {Fernando Alcalde Cuesta and Álvaro Lozano Rojo and Matilde Martínez},
  journal= {arXiv preprint arXiv:2009.07931},
  year   = {2020}
}

Comments

12 pages, 3 figures, to appear in Proceedings of the American Mathematical Society