| Abstract: |
The talks will center around the articles: Boundaries of reduced C*-algebras of discrete groups by Kalantar–Kennedy, and C*-simplicity and the unique trace property for discrete groups by Breuillard–Kalantar–Kennedy–Ozawa. We will also cover background material on C*-algebras, C*-simplicity and Furstenberg boudaries. A detailed programme is available here. |
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| Framework: |
This activity belongs to the IAP project DYGEST.
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Organisers: |
Pierre-Emmanuel Caprace and Stefaan Vaes |
| [BKKO] | E. Breuillard, M. Kalantar, M. Kennedy and N. Ozawa, C*-simplicity and the unique trace property for discrete groups, arXiv. |
| [dlH1] | P. de la Harpe, Reduced C*-algebras of discrete groups which are simple with a unique trace. In Operator algebras and their connections with topology and ergodic theory (Busteni, 1983). Lecture Notes in Mathematics 1132, Springer, Berlin, 1985, pp. 230–253. |
| [dlH2] | P. de la Harpe, On simplicity of reduced C*-algebras of groups, Bull. London Math. Soc. 39 (2007), 1–26. |
| [Fu] | A. Furman, On minimal strongly proximal actions of locally compact groups, Israel J. Math. 136 (2003), 173–187. |
| [KK] | M. Kalantar and M. Kennedy, Boundaries of reduced C*-algebras of discrete groups, arXiv. |
| [Oz] | N. Ozawa, Lectures on the Furstenberg boundary and C*-simplicity, available here. |
| 10:00 | Stefaan Vaes (KUL): Introduction to C*-algebras and C*-simplicity |
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| 11:30 | François Le Maître (UCL): The Powers property |
| 14:00 | Pierre-Emmanuel Caprace (UCL): Furstenberg boundaries |
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| 15:30 | Stefaan Vaes (KUL): Hamana boundaries |
| 14:00 | Tim de Laat (KUL): C*-simplicity and topologically free boundary actions |
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| 15:30 | Peter Verraedt (KUL): C*-simplicity and normalish amenable subgroups |
| 14:00 | David Hume (UCL): C*-simplicity, bounded cohomology and ℓ2-Betti numbers |
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| 15:30 | Phillip Wesolek (UCL): C*-simplicity for linear groups |
| 14:00 | Adrien Le Boudec (UCL): Non-C*-simple discrete groups with trivial amenable radical |