Differentiability of integrable measurable cocycles between nilpotent groups

DOI10.4171/CMH/410zbMath1472.20083arXiv1509.08966MaRDI QIDQ520761

Michael Cantrell

Publication date: 5 April 2017

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08966

zbMATH Keywords

asymptotic conesnilpotent groupscocycle ergodic theoremsintegrable measure equivalencePansu derivative

Mathematics Subject Classification ID

Geometric group theory (20F65) Nilpotent groups (20F18) General groups of measure-preserving transformations (28D15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Measurable group actions (22F10)

Related Items (2)

Integrable orbit equivalence rigidity for free groups ⋮ A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices

Cites Work

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• Integrable measure equivalence for groups of polynomial growth
• Integrable measure equivalence and rigidity of hyperbolic lattices
• Geometry of locally compact groups of polynomial growth and shape of large balls
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Harmonic analysis, cohomology, and the large-scale geometry of amenable groups
• Homological invariants and quasi-isometry.
• Ergodic theory of amenable group actions. I: The Rohlin lemma

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