Lunes 27 de febrero de 2017
Auditorio Nápoles Gándara
Instituto de Matemáticas UNAM
Workshop: Groups of dynamical origin
François Le Maître: L1 full groups.
In this talk I will present L1 full groups, which are the measurable analogue of topological full groups. They are Polish groups which provide a complete invariant for measure-preserving invertible ergodic transformations up to flip-conjugacy. After establishing some of their basic properties, I will explain why the L1 full group of a measure-preserving ergodic invertible transformation is topologically finitely generated if and only if the transformation has finite entropy.
Temas: