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Abstract: Let G be a locally compact group acting freely and continuously on a space X. There are lovely characterizations of many representation-theoretic properties of the associated C*-algebra C_0(X)\times G in terms of the action of G on X. In particular, the action of G on X is proper if and only if C_0(X)\times G has continuous trace. I will use examples to explain proper actions and continuous-trace C*-algebras, and discuss how to quantify the failure of an action to be proper in C_0(X)\times G. This is joint work with Robert Archbold from the University of Aberdeen.
This talk will be accessible to graduate students.
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