BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

$L_1$ full groups Le Maitre, Francois


I will talk about $L_1$ full groups of ergodic measure-preserving transformations, which are measurable analogues of topological full groups of minimal homeomorphisms of the Cantor space. After describing some of the basic properties of these groups, I will present a short proof that the index map takes values into $\mathbb Z$ which was found with Todor Tsankov. Finally, I will mention some results on the topological rank of $L_1$ full groups.

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