Measure equivalence classification of transvection-free right-angled Artin groups

DOI10.5802/jep.199OpenAlexW4287641357MaRDI QIDQ2146732

Camille Horbez, Jingyin Huang

Publication date: 21 June 2022

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03613

zbMATH Keywords

right-angled Artin groupsmeasure equivalence

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Classification of factors (46L36)

Related Items (3)

Orbit equivalence rigidity of irreducible actions of right-angled Artin groups ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ Continuous orbit equivalence rigidity for left-right wreath product actions

Cites Work

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• Integrable measure equivalence for groups of polynomial growth
• Metric geometry of locally compact groups
• The Poisson boundary of CAT(0) cube complex groups.
• Integrable measure equivalence and rigidity of hyperbolic lattices
• Hereditary conjugacy separability of right-angled Artin groups and its applications.
• Groups of given intermediate word growth.
• Quasi-isometric classification of some high dimensional right-angled Artin groups.
• Group measure space decomposition of \(\text{II}_{1}\) factors and \(\text W^{*}\)-superrigidity
• Divergence and quasimorphisms of right-angled Artin groups.
• Invariants of orbit equivalence relations and Baumslag-Solitar groups
• Free products, orbit equivalence and measure equivalence rigidity
• Finite index subgroups of graph products.
• The asymptotic geometry of right-angled Artin groups. I.
• Measure equivalence rigidity of the mapping class group
• On a class of II\(_1\) factors with at most one Cartan subalgebra
• Property \(A\) and \(\text{CAT}(0)\) cube complexes.
• Strong rigidity for ergodic actions of semisimple Lie groups
• Groups generating transversals to semisimple Lie group actions
• Indecomposability of equivalence relations generated by word hyperbolic groups
• Algorithms and geometry for graph products of groups
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• Random walks and boundaries of CAT(0) cubical complexes
• Commensurability of groups quasi-isometric to RAAGs
• Groups quasi-isometric to right-angled Artin groups
• Automorphisms of graph groups.
• \(\ell^2\) invariants of equivalence relations and groups
• Parabolic subgroups of Artin groups of type FC.
• Embeddability between right-angled Artin groups..
• Cost of equivalence relations and groups
• Gromov's measure equivalence and rigidity of higher rank lattices
• Orbit equivalence rigidity
• Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
• Contracting isometries of CAT(0) cube complexes and acylindrical hyperbolicity of diagram groups
• Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
• Quasi-isometry classification of right-angled Artin groups that split over cyclic subgroups
• On hierarchical hyperbolicity of cubical groups
• Lattice envelopes
• Tits alternatives for graph products
• Top-dimensional quasiflats in CAT(0) cube complexes
• Quasi-isometric classification of right-angled Artin groups. I: The finite out case
• Automorphisms of 2-dimensional right-angled Artin groups.
• Orbit equivalence rigidity and bounded cohomology
• Parabolic and quasiparabolic subgroups of free partially commutative groups.
• Quasi-isometric classification of graph manifold groups.
• Special cube complexes
• An introduction to right-angled Artin groups.
• The median class and superrigidity of actions on CAT(0) cube complexes
• A survey of Measured Group Theory
• Orbit Equivalence and Measured Group Theory
• Groups acting on spaces of non-positive curvature
• Rigidity of amalgamated free products in measure equivalence
• The Furstenberg–Poisson boundary and CAT(0) cube complexes
• On Groups of Measure Preserving Transformations. I
• OEandW* superrigidity results for actions by surface braid groups
• On a class of II<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sub> factors with at most one Cartan subalgebra, II
• Isomorphisms of Graph Groups
• Subrelations of ergodic equivalence relations
• Ergodic theory of amenable group actions. I: The Rohlin lemma
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
• THE $\eltwo$-COHOMOLOGY OF ARTIN GROUPS
• A Generating Set for the Automorphism Group of a Graph Group
• Baumslag-Solitar groups, relative profinite completions and measure equivalence rigidity
• The Haagerup Property for Discrete Measured Groupoids
• The geometry of the curve graph of a right-angled Artin group
• The mapping class group from the viewpoint of measure equivalence theory
• On Groups of Measure Preserving Transformations. II
• Examples of groups that are measure equivalent to the free group

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