Algebraic and Topological Properties of Unitary Groups of II_1 Factors
Institution: | Universität Leipzig |
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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 |
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.