Hyperbolic actions of higher rank lattices come from rank-one factors
Abstract We study actions of higher rank lattices $\Gamma <G$ on hyperbolic spaces and we show that all such actions satisfying mild properties come from the rank-one factors of G . In particular, all non-elementary isometric actions on an unbounded hyperbolic space are of this type.
Authors
- Alex Furman (ORCID: https://orcid.org/0000-0001-8497-6294)
- Uri Bader
- Alessandro Sisto (ORCID: https://orcid.org/0000-0002-4630-3619)
- Pierre‐Emmanuel Caprace (ORCID: https://orcid.org/0000-0001-5294-2006)
Institutions
- Heriot-Watt University (GB)
- University of Illinois Chicago (US)
- Maxwell Institute for Mathematical Sciences (GB)
- Weizmann Institute of Science (IL)
- UCLouvain (BE)
Publication Details
- Journal
- Ergodic Theory and Dynamical Systems
- Published
- 2024-09-30
- DOI
- https://doi.org/10.1017/etds.2024.65
- Citations
- 2
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 2.02
Funders
- National Science Foundation
- Fonds De La Recherche Scientifique - FNRS
- Fonds Wetenschappelijk Onderzoek
- Israel Science Foundation