3 citations · 10 across the 11 of their papers we have counts for
22 papers
Whirliness beyond amenability
Yannik Höll, Friedrich Martin Schneider
Given a non-atomic standard probability space , we exhibit examples of non-amenable closed topological subgroups of whose natural near-action on …
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,…
Group von Neumann algebras, inner amenability, and unit groups of continuous rings
Friedrich Martin Schneider
We prove that, if a discrete group is not inner amenable, then the unit group of the ring of operators affiliated with the group von Neumann algebra of is non-amenable with…
Intrinsic Dimension for Large-Scale Geometric Learning
Maximilian Stubbemann, Tom Hanika, Friedrich Martin Schneider
The concept of dimension is essential to grasp the complexity of data. A naive approach to determine the dimension of a dataset is based on the number of attributes. More sophistic…