C*-simple and non-C*-simple locally compact groups
Event details
| Date | 03.03.2016 |
| Hour | 13:00 › 14:00 |
| Speaker | Sven Raum |
| Location | |
| Category | Conferences - Seminars |
In this talk we present recent advances on C*-simplicity of non-discrete groups. On the one hand, we present different implications of C*-simplicity. Every C*-simple group must be totally disconnected. Further, a C*-simple group cannot contain a cocompact amenable closed subgroup, since the latter always provides an analogue of principal series representations as we will see during the lecture. On the other hand, we describe a class of C*-simple groups emphasising on C*-simplicity of Burger-Mozes' universal groups acting on trees. These results are the first C*-simplicity results obtained for non-discrete groups. We try to present the geometric and group theoretical ideas ideas behind our work, raising the questions for possible generalisations and new examples.
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Practical information
- General public
- Free