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C*-simplicity and the amenable radical (GGT-Seminar)

C*-simplicity and the amenable radical (GGT-Seminar)
Datum:

20.10.2015

Ort:

SR 1.067 (20.30) 

Referent:

Adrien Le Boudec 

Zeit:

16:00 Uhr

Abstract: A countable group is C*-simple if its reduced C*-algebra is simple. We will first survey recent results of Kalentar-Kennedy and Breuillard-Kalentar-Kennedy-Ozawa about the connection between the C*-simplicity of a countable group and its boundary actions. We will then explain the construction of non-C*-simple groups with no amenable normal subgroup. Some examples arising from this construction are moreover finitely generated and simple.