Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups

Explore the generalization of Birkhoff's famous theorem in a one-hour lecture on the non-commutative pointwise ergodic theorem for actions of amenable groups. Delve into the extension of ergodic averages from measure-preserving transformations to actions of amenable groups, and from measure spaces to von Neumann algebras with traces. Examine the crucial role of non-commutative maximal functions in extending the concept of supremum to families of operators. Learn about the joint work of Léonard Cadilhac from Sorbonne Université and Simeng Wang, as they present their findings on this advanced topic in ergodic theory and operator algebras at the Institut des Hautes Etudes Scientifiques (IHES).