Linear Analysis Seminar
Date: January 27, 2020
Time: 2:00PM - 3:00PM
Location: BLOC 220
Speaker: Sang-Gyun Youn, Queen's University at Kingston
Title: On the similarity problem for locally compact quantum groups
Abstract: The celebrated work of Day and Dixmier in 1950 states that, for an amenable locally compact group G, every bounded Hilbert space representation of the convolution algebra L1(G) is automatically similar to a *-representation. This property has been explored within the framework of locally compact quantum groups since 2009. The aim of this talk is to explain the current status of this problem and why the property does not hold for a large class of non-Kac type compact quantum groups.