Towards a dynamical version of the Cuntz semigroup

Joachim Zacharias (University of Glasgow)

Tuesday 24th January, 2017 16:00-17:00 Maths 204


The Cuntz semigroup is an invariant for C*-algebras combining refined K-theoretical and tracial properties of the algebra in question, carrying important information but notoriously difficult to determine. We consider a dynamical version of the Cuntz semigroup for discrete amenable groups acting on compact spaces which appears easier to determine. It models the Cuntz semigroup of the crossed product C*-algebra of the action if the action allows certain  to Rokhlin tower approximations.

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