EVENT DETAILS AND ABSTRACT

Title: Normal amenable subgroups of the automorphism group of the full shift
Speaker: Omer Tamuz
Speaker Info: Caltech
Brief Description:
Special Note:
Abstract:

We show that every normal amenable subgroup of the automorphism group of the full shift is contained in its center. This follows from the analysis of this group's Furstenberg topological boundary, through the construction of a minimal and strongly proximal action. We extend this result to higher dimensional full shifts. This also provides a new proof of Ryan's Theorem and of the fact that these groups contain free groups.

Joint with Joshua Frisch and Tomer Schlank