College of Liberal Arts & Sciences
Operator Theory Seminar
Speaker:
Pieter Spaas (UCLA)
Topic:
Stable decompositions and rigidity for products of countable equivalence relations
Abstract:
After discussing the motivation behind the talk and some necessary preliminaries, we will consider the ''stabilization'' of a countable ergodic p.m.p. equivalence relation which is not Schmidt, i.e., admits no central sequences in its full group. Using a new local characterization of the Schmidt property, we show that this always gives rise to a so-called stable equivalence relation with a unique stable decomposition, providing the first non-strongly ergodic such examples. We will also discuss some new structural results for product equivalence relations, which we will obtain using von Neumann algebraic techniques.
Event Date:
February 23, 2021 - 1:30pm to 2:20pm
Location:
Online
Calendar Category:
Seminar
Seminar Category:
Operator Theory