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math.GR2024
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…
math.GR2024
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.…