AbstractsMathematics

Algebraic and Topological Properties of Unitary Groups of II_1 Factors

by Philip Dowerk




Institution: Universit├Ąt Leipzig
Department: Mathematik und Informatik
Degree: PhD
Year: 2015
Record ID: 1103552
Full text PDF: http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-165242


Abstract

The thesis is concerned with group theoretical properties of unitary groups, mainly of II_1 factors. The author gives a new and elementary proof of an result on extreme amenability, defines the bounded normal generation property and invariant automatic continuity property and proves these for various unitary groups of functional analytic types.