18 citations · 91 across the 28 of their papers we have counts for
9 papers · 1 filter
Amenability and skew-amenability of actions of topological groups
Vadim Alekseev, Hiroshi Ando, Friedrich Martin Schneider +1
We define and study notions of amenability and skew-amenability of continuous actions of topological groups on compact topological spaces. Our main motivation is the question under…
On invariant means and pre-syndetic subgroups
Vladimir G. Pestov, Friedrich Martin Schneider
Beyond the locally compact case, equivalent notions of amenability diverge, and some properties no longer hold, for instance amenability is not inherited by topological subgroups.…
Amenable equivalence relations, Kesten's property, and measurable lamplighters
Maksym Chaudkhari, Kate Juschenko, Friedrich Martin Schneider
We prove a characterization of the amenability of countable Borel equivalence relations in terms of the uniform Liouville property for group actions on their classes. Furthermore,…
Skew-amenability of topological groups
Kate Juschenko, Friedrich Martin Schneider
We study skew-amenable topological groups, i.e., those admitting a left-invariant mean on the space of bounded real-valued functions left-uniformly continuous in the sense of Bourb…
About von Neumann's problem for locally compact groups
Friedrich Martin Schneider
We note a generalization of Whyte's geometric solution to the von Neumann problem for locally compact groups in terms of Borel and clopen piecewise translations. This strengthens a…
On Følner sets in topological groups
Friedrich Martin Schneider, Andreas Thom
We extend Følner's amenability criterion to the realm of general topological groups. Building on this, we show that a topological group is amenable if and only if its left tran…
Asymptotic uniform complexity and amenability
Friedrich Martin Schneider
We introduce a novel quantity for general dynamical systems, which we call the asymptotic uniform complexity. We prove an inequality relating the asymptotic uniform complexity of a…
Topological entropy of continuous actions of compactly generated groups
Friedrich Martin Schneider
We introduce a notion of topological entropy for continuous actions of compactly generated topological groups on compact Hausdorff spaces. It is shown that any continuous action of…
Topological matchings and amenability
Friedrich Martin Schneider, Andreas Thom
We establish a characterization of amenability for general Hausdorff topological groups in terms of matchings with respect to finite uniform coverings. Furthermore, we prove that i…