6 citations · 20 across the 12 of their papers we have counts for
12 papers · 1 filter
About discrete subgroups of full groups of measure preserving equivalence relations
Vadim Alekseev, Alessandro Carderi, Andreas Thom +1
In this note we study countable subgroups of the full group of a measure preserving equivalence relation. We provide various constraints on the group structure, the nature of the a…
Classification of non-free p.m.p. boolean actions of ergodic full groups and applications
Alessandro Carderi, Alice Giraud, François Le Maître
We extend Dye's reconstruction theorem, which classifies isomorphisms between full groups, to a classification of homomorphisms between full groups. For full groups of ergodic p.m.…
Maximal amenable subgroups of arithmetic groups
Vadim Alekseev, Alessandro Carderi
By classifying -maximal amenable subgroups of algebraic groups over a global field of characteristic zero, we obtain a complete classification of maximal amenable subgroups up t…
On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype
Alessandro Carderi, Damien Gaboriau, François Le Maître +1
Given a Baumslag-Solitar group, we study its space of subgroups from a topological and dynamical perspective. We first determine its perfect kernel (the largest closed subset witho…
On dense totipotent free subgroups in full groups
Alessandro Carderi, Damien Gaboriau, François Le Maître
We study probability measure preserving (p.m.p.) non-free actions of free groups and the associated IRS's. The perfect kernel of a countable group Gamma is the largest closed subsp…
On Farber sequences in locally compact groups
Alessandro Carderi
We will prove that any sequence of lattices in a fixed locally compact group which satisfy the conclusion of the Stuck-Zimmer theorem is Farber.
Asymptotic invariants of lattices in locally compact groups
Alessandro Carderi
The aim of this work is to understand some of the asymptotic properties of sequences of lattices in a fixed locally compact group. In particular we will study the asymptotic growth…
Non-standard limits of graphs and some orbit equivalence invariants
Alessandro Carderi, Damien Gaboriau, Mikael de la Salle
We consider probability measure preserving discrete groupoids, group actions and equivalence relations in the context of general probability spaces. We study for these objects the…
An exotic group as limit of finite special linear groups
Alessandro Carderi, Andreas Thom
We consider the Polish group obtained as the rank-completion of an inductive limit of finite special linear groups. This Polish group is topologically simple modulo its center, it…
Orbit full groups for locally compact groups
Alessandro Carderi, François Le Maître
We show that the topological rank of an orbit full group generated by an ergodic, probability measure-preserving free action of a non-discrete unimodular locally compact Polish gro…
Ultraproducts, weak equivalence and sofic entropy
Alessandro Carderi
In this work, we study pmp actions of countable groups on arbitrary diffuse probability spaces under the point of view of weak equivalence. We will show that any such an action is…
More Polish full groups
Alessandro Carderi, François Le Maître
We associate to every action of a Polish group on a standard probability space a Polish group that we call the orbit full group. For discrete groups, we recover the well-known full…