C*-algebras of minimal dynamical systems and Z-stable classification

Karen Strung (U Nottingham)

Wednesday 6th October, 2010 16:00-17:00 204


I will discuss C*-algebras associated to minimal dynamical systems and their context within the classification programme for C*-algebras. I will discuss my recent work with Wilhelm Winter which gives a way of determining when C*-algebras associated to minimal dynamical systems, tensored with UHF algebras, can be approximated by "nicer" C*-algebras in a tracial way, a notion introduced by Huaxin Lin. Our result is used to provide a classification result for those C*-algebras of minimal dynamical systems, after tensoring with the so-called Jiang--Su algebra Z, under a certain restriction on the tracial state space.

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