Department of Mathematics,
University of California San Diego
****************************
Math 211B - Group Actions Seminar
Julien Melleray
Université Lyon 1
From invariant measures to orbit equivalence, via locally finite groups
Abstract:
A famous theorem of Giordano, Putnam and Skau (1995) states that two minimal homeomorphisms of a Cantor space X are orbit equivalent (i.e, the equivalence relations induced by the two associated actions are isomorphic) as soon as they have the same invariant Borel probability measures. I will explain a new "elementary" approach to prove this theorem, based on a strengthening of a result of Krieger (1980). I will not assume prior familiarity with Cantor dynamics. This is joint work with S. Robert (Lyon).
Host: Brandon Seward
February 3, 2022
12:00 PM
Zoom ID: 967 4109 3409
Email an organizer for the password
Research Areas
Ergodic Theory and Dynamical Systems****************************
