About von Neumann's problem for locally compact groups

DOI10.4171/JNCG/317zbMath1414.22016arXiv1702.07955MaRDI QIDQ1731737

Friedrich Martin Schneider

Publication date: 14 March 2019

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07955

zbMATH Keywords

amenabilitycoarse geometrylocally compact groupsparadoxicalitypiecewise translations

Mathematics Subject Classification ID

Geometric group theory (20F65) Free nonabelian groups (20E05) General properties and structure of locally compact groups (22D05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Computable paradoxical decompositions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cantor systems, piecewise translations and simple amenable groups
• Large scale geometry
• Amenable semigroups
• A measurable-group-theoretic solution to von Neumann's problem
• Baire measurable paradoxical decompositions via matchings
• Measures invariant under actions of \(F_ 2\)
• Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
• Invariant means for the wobbling group
• Irreducible lattices, invariant means, and commensurating actions
• Existence of Borel transversals in groups
• Fixed points for bounded orbits in Hilbert spaces
• A Generalization of Folner's Condition.
• On groups with full Banach mean value
• Residual Properties of Infinite Soluble Groups
• Cellular Automata and Groups
• Nonamenability and Borel Paradoxical Decompositions for Locally Compact Groups
• Amenability and paradoxical decompositions for pseudogroups and for discrete metric spaces
• On Følner sets in topological groups
• Amenable Groups and Groups with the Fixed Point Property
• Some properties of locally compact groups