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Friday, February 19, 2016

**Abstract:** A group G is amenable if it can be equipped with a left invariant mean. It turns out that amenability is characterized by the equivalence of certain C* algebras that we can build from G. These C* algebras carry the information about unitary representations of G. The purpose of this talk is to introduce the audience to some ideas from functional analysis by proving one direction of this characterization. Consequently, the only pre-requisites is some familiarity with functional analysis.