Stability for hyperbolic groups acting on boundary spheres

A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary action.

Manylion Llyfryddiaeth
Prif Awduron: Kathryn Mann, Jason Fox Manning
Fformat: Erthygl
Iaith:English
Cyhoeddwyd: Cambridge University Press 2023-01-01
Cyfres:Forum of Mathematics, Sigma
Pynciau:
Mynediad Ar-lein:https://www.cambridge.org/core/product/identifier/S2050509423000786/type/journal_article