Continuous orbit equivalence rigidity for left-right wreath product actions

DOI10.1016/j.jfa.2023.109942OpenAlexW4362470024MaRDI QIDQ2700660

Yongle Jiang

Publication date: 27 April 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10765

zbMATH Keywords

rigiditywreath productcontinuous orbit equivalencegeneralized full shifts

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

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• Cocycle superrigidity for profinite actions of property (T) groups
• Measure equivalence rigidity of the mapping class group
• Bounded topological orbit equivalence and \(C^*\)-algebras
• A groupoid approach to C*-algebras
• Dynamic characterizations of quasi-isometry and applications to cohomology
• Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions
• Theory of operator algebras. III
• The cohomology of higher-dimensional shifts of finite type
• Gromov's measure equivalence and rigidity of higher rank lattices
• Orbit equivalence rigidity
• Superrigidity, measure equivalence, and weak Pinsker entropy
• Measure equivalence classification of transvection-free right-angled Artin groups
• Operator algebras and dynamics: groupoids, crossed products, and Rokhlin dimension. Lecture notes given at the advanced course on crossed products, groupoids, and Rokhlin dimension, Centre de Recerca Matemàtica, CRM, Barcelona, Spain, March 13--17, 2017
• Orbit equivalence rigidity for product actions
• Invariant means and the structure of inner amenable groups
• \(\mathbb{Z}^d\)-odometers and cohomology
• Continuous cocycle superrigidity for shifts and groups with one end
• Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
• Strong rigidity of generalized Bernoulli actions and computations of their symmetry groups
• Orbit equivalence rigidity and bounded cohomology
• Cocycle superrigidity for profinite actions of irreducible lattices
• Livsic theorems for connected Lie groups
• Orbit equivalence rigidity of equicontinuous systems
• On cocycle superrigidity for Gaussian actions
• Cocycle and orbit superrigidity for lattices in SL(n,R) acting on homogeneous spaces
• On the superrigidity of malleable actions with spectral gap
• Rigidity of amalgamated free products in measure equivalence
• On Groups of Measure Preserving Transformations. I
• OEandW* superrigidity results for actions by surface braid groups
• Regularity of solutions to the measurable Livsic equation
• Remarks on Livšic' theory for nonabelian cocycles
• Measurable Cocycle Rigidity for Some Non-Compact Groups
• The Livsic Cocycle Equation for Compact Lie Group Extensions of Hyperbolic Systems
• Continuous cocycle superrigidity for coinduced actions and relative ends
• Continuous orbit equivalence rigidity
• Cocycle and orbit equivalence superrigidity for coinduced actions
• Topological Wiener–Wintner ergodic theorems and a randomL²ergodic theorem
• Rigidity of Continuous Coboundaries
• Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts
• Continuous Cocycle Superrigidity for the Full Shift Over a Finitely Generated Torsion Group
• Cocycle superrigidity for translation actions of product groups
• Orbit equivalence rigidity of irreducible actions of right-angled Artin groups
• Ergodic Theory
• On continuous orbit equivalence rigidity for virtually cyclic group actions
• Superrigidity for dense subgroups of Lie groups and their actions on homogeneous spaces

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