A measurable-group-theoretic solution to von Neumann's problem

DOI10.1007/s00222-009-0187-5zbMath1182.43002arXiv0711.1643OpenAlexW2963756370MaRDI QIDQ834798

Publication date: 27 August 2009

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1643

zbMATH Keywords

Bernoulli shift von Neumann factor measurable-group-theory non-amenable group non-cyclic free group

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Percolation (82B43) Free nonabelian groups (20E05) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Means on groups, semigroups, etc.; amenable groups (43A07)

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