# Sets of invariant measures of minimal homeomorphisms

This is a joint operator algebra/descriptive set theory seminar.

Spearker: Julien Melleray (Lyon)

Abstract: I'll describe a characterization of sets K of Borel probability measures on a Cantor space X with the property that there exists a minimal homeomorphism of X whose set of invariant probability measures coincides with K. This extends earlier work of Akin and Dahl, and is in large part based on joint work with T. Ibarlucia.