L1 Full Groups of Flows in Measured Group Theory

Explore a 33-minute lecture on L1 full groups of flows presented by François Le Maître as part of the Measured Group Theory program at the Centre de recherches mathématiques. Delve into the association of probability measure-preserving actions of the reals with Polish groups, which serve as invariants of the action up to isomorphism. Examine various properties of these L1 full groups, including their abelianization and topological rank. Investigate the infinite measure-preserving action of group elements on the orbits of the original action and its significance in understanding the closure of the commutator subgroup. Compare this approach to the "discrete" version involving L1 full groups of probability measure-preserving actions of integers. Gain insights into this joint work with Kostya Slutsky, which contributes to the field of measured group theory.