Boundary amenability of $Out(F_N)$

DOI10.24033/asens.2519OpenAlexW2617524597MaRDI QIDQ5056675

Camille Horbez, Vincent Guirardel, Mladen Bestvina

Publication date: 8 December 2022

Published in: Annales scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07017

zbMATH Keywords

Novikov conjectureboundary amenabilityautomorphisms of free groups and free productsgroup actions on \(\mathbb{R}\) trees

Mathematics Subject Classification ID

Geometric group theory (20F65) (K)-theory and operator algebras (including cyclic theory) (46L80) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Groups acting on trees (20E08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coarse non-amenability and coarse embeddings
• Hyperbolicity of the cyclic splitting graph.
• Stretching factors, metrics and train tracks for free products
• Trees of cylinders and canonical splittings.
• Hilbert space compression and exactness of discrete groups.
• Hyperfiniteness of boundary actions of hyperbolic groups
• Spectral rigidity for primitive elements of \(F_N\).
• Zero-in-the-spectrum conjecture on regular covers of compact manifolds
• Geometry of the mapping class groups. I: Boundary amenability
• Moduli of graphs and automorphisms of free groups
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• Graphs of actions on \(\mathbf R\)-trees
• Pseudogroups of isometries of \(\mathbb{R}\) and Rips' theorem on free actions on \(\mathbb{R}\)-trees
• Boundary amenability for word hyperbolic groups and an application to smooth dynamics of simple groups
• Laminations, trees, and irreducible automorphisms of free groups
• Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank \(1\) Lie groups. II
• Random walk in random groups.
• Bivariant \(K\)-theory and the Novikov conjecture
• The topology and geometry of automorphism groups of free groups
• The boundary of the outer space of a free product
• Permanence properties of \(C^*\)-exact groups
• Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Splittings and automorphisms of relatively hyperbolic groups
• The Novikov conjecture for linear groups
• Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
• Actions of finitely generated groups on \(\mathbb{R}\)-trees.
• Boundary amenability of relatively hyperbolic groups.
• Automorphisms of hyperbolic groups and graphs of groups.
• Small cancellation labellings of some infinite graphs and applications
• Hyperbolic graphs for free products, and the Gromov boundary of the graph of cyclic splittings
• Topological Amenability Is a Borel Property
• Geometric group actions on trees
• JSJ decompositions of groups
• Amenability and exactness for dynamical systems and their 𝐶*-algebras
• Finiteness properties of automorphism groups of right-angled Artin groups
• Group Actions On R-Trees
• Amenable actions and exactness for discrete groups
• COUNTABLE BOREL EQUIVALENCE RELATIONS
• Amenability of Actions on the Boundary of a Building
• Amenable group actions and the Novikov conjecture
• Unicorn paths and hyperfiniteness for the mapping class group
• Hyperbolic rigidity of higher rank lattices
• The outer space of a free product
• The mapping class group from the viewpoint of measure equivalence theory

This page was built for publication: Boundary amenability of $Out(F_N)$