Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces
arXiv:1906.04227 · doi:10.2140/agt.2023.23.1641
Abstract
We give a complete list of the cobounded actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces up to a natural equivalence relation. The set of equivalence classes carries a natural partial order first introduced by Abbott-Balasubramanya-Osin, and we describe the resulting poset completely. There are finitely many equivalence classes of actions, and each equivalence class contains the action on a point, a tree, or the hyperbolic plane.
Final version, to appear in Algebraic & Geometric Topology