Videoseminar Oxford-Dresden-Warschau: Haagerup approximation property for arbitrary von Neumann algebras and Schoenberg correspondence

Date

Oct 13, 2015

Time

6:00 PM - 7:00 PM

Speaker

Dr. Adam Skalski

Affiliation

Institute of Mathematics of the Polish Academy of Sciences

Series

TUD Mathematik Oberseminar Analysis

Language

en

Main Topic

Mathematik

Other Topics

Mathematik

Host

Prof. Dr. R. Chill

Description

The Haagerup approximation property for finite von Neumann algebras (i.e.von Neumann algebras with a tracial faithful normal state) has been studied for more than 30 years. The original motivation to study this property came from the case of group von Neumann algebras of discrete groups, where it corresponds to the geometric Haagerup property of the underlying group. Last few years brought a lot of interest in the Haagerup property for discrete and general locally compact quantum groups. If the discrete quantum group in question is not unimodular, the associated (quantum) group von Neumann algebra cannot be finite, so we need a broader framework for the operator algebraic property. In this talk, I will present recent developments regarding the Haagerup approximation property for arbitrary von Neumann algebras and will also discuss some questions relating it to the issues related to the classical Schoenberg correspondence. (Mainly based on joint work with Martijn Caspers.

Links

• Oberseminar Analysis

Last modified: Sep 15, 2015, 6:00:57 PM