7 citations · 15 across the 19 of their papers we have counts for
7 papers · 1 filter
Property (T), finite-dimensional representations, and generic representations
Michal Doucha, Maciej Malicki, Alain Valette
Let be a discrete group with property (T). It is a standard fact that, in a unitary representation of on a Hilbert space , almost invariant vectors are close t…
Generic representations of countable groups
Michal Doucha, Maciej Malicki
The paper is devoted to a study of generic representations (homomorphisms) of discrete countable groups in Polish groups , i.e. those elements in the Polish space $\mathrm{R…
An example of a non non-archimedean Polish group with ample generics
Maciej Malicki
For an analytic -ideal , is the Polish group of all the permutations of whose support is in , with Polish topology given by the corresponding submeasure…
Abelian pro-countable groups and orbit equivalence relations
Maciej Malicki
We study groups that can be defined as Polish, pro-countable groups, as non-archimedean groups with an invariant metric or as quasi-countable groups, i.e., closed subdirect product…
Generic elements in isometry groups of Polish ultrametric spaces
Maciej Malicki
This paper presents a study of generic elements in full isometry groups of Polish ultrametric spaces. We obtain a complete characterization of Polish ultrametric spaces X whose iso…
Rooted trees, strong cofinality and ample generics
Maciej Malicki
We characterize those countable rooted trees whose full automorphism group has uncountable strong cofinality or contains an open subgroup with ample generics.
Trees, unsplittability, property (FA) and the likes
Maciej Malicki
The paper is devoted to a study of certain fixed point properties, and their relatives, in the context of full automorphism groups of countable rooted trees. Namely, we study Serre…