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math.GR2023
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…
math.GR2023
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.…