Amenable actions, free products and a fixed point property
By Yair Glasner, Nicolas Monod. 2005
56 citations recorded by the source corpus.
We investigate the class of groups admitting an action on a set with an invariant mean. It turns out that many free products admit interesting actions of this kind. A complete characterization of such free products is given in terms of a fixed point property.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4595437a12b7ae5ffdf86942fb33bd5a4c0045ac
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In Geometry and Topology
- Rostislav I. Grigorchuk
- Zoran Sunic
- Todor Tsankov
- Alexander S. Kechris
- Miklós Abért
- A. Furman
- Volodymyr V. Nekrashevych
- Lewis Bowen
In Mathematical Physics
- Rostislav I. Grigorchuk
- Zoran Sunic
- Todor Tsankov
- Alexander S. Kechris
- Lewis Bowen
- Yaroslav Vorobets
- Volodymyr V. Nekrashevych
- A. Furman
Citations in the corpus
- Groups St Andrews 2005: Self-similarity and branching in group theory (2007, background): “Groups with the property ANA and other related properties were also studied by Monod and Glasner in [ 32 ], where many new amenable actions of non-amenable groups are introduced.”
- AMENABLE ACTIONS AND ALMOST INVARIANT SETS (2007, background): “show that the action of Γ on X is amenable iff the shift Γ MX has almost invariant sets.”