Efficient subdivision in hyperbolic groups and applications.

DOI10.4171/GGD/182zbMath1345.20058arXiv1003.1562MaRDI QIDQ355377

Uri Bader, Roman Sauer, Alex Furman

Publication date: 24 July 2013

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1562

zbMATH Keywords

hyperbolic groupsmeasure equivalence\(\ell^1\)-homologysimplicial volume of manifoldsSobolev homology

Mathematics Subject Classification ID

Hyperbolic groups and nonpositively curved groups (20F67) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Homology and cohomology theories in algebraic topology (55N99)

Related Items (6)

Finitely summable \(\gamma\)-elements for word-hyperbolic groups ⋮ Multiplicative constants and maximal measurable cocycles in bounded cohomology ⋮ Integrable measure equivalence and rigidity of hyperbolic lattices ⋮ Polynomially weighted \(\ell^p\)-completions and group homology ⋮ Algebraic hull of maximal measurable cocycles of surface groups into Hermitian Lie groups ⋮ A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices

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