EVENT DETAILS AND ABSTRACT

Title: Mixing, disjoint factors and isometric extensions
Speaker: Professor Dan Rudolph
Speaker Info: Colorado State
Brief Description:
Special Note:
Abstract:

Recently Francois Parreau and Jean-Paul Thouvenot have proven the rather startling fact that any ergodic transformation that is not mixing has a nontrivial factor disjoint from all mixing actions. This result has a relative version and with it one is able to prove a relative version of the fact that weakly mixing isometric extensions of mixing actions must be mixing. This can then be used to show that for discrete amenable group actions, weakly mixing isometric extensions of mixing actions must be mixing, using the orbit transference method. My goal is to sketch the machinery of the Parreau-Thouvenot argument and how it can used to carry out this program.