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math.GR2014
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…
math.DS2014
On full groups of non ergodic probability measure preserving equivalence relations
François Le Maître
We give a formula relating the topological rank of the full group of an aperiodic pmp equivalence relation to the cost of its ergodic components. Furthermore, we obtain examples of…