Admissible KMS bundles on classifiable C$^*$-algebras

Robert Neagu (University of Oxford)

Thursday 25th January 16:00-17:00 Maths 311B

Abstract

Named after mathematical physicists Kubo, Martin, and Schwinger, KMS states are a special class of states on any C$^*$-algebra admitting a continuous action of the real numbers. Unlike in the case of von Neumann algebras, where each modular flow has a unique KMS state, the collection of KMS states for a given flow on a C$^*$-algebra can be quite intricate. In this talk, I will explain what abstract properties these simplices have and show how one can realise such a simplex on various classes of simple C$^*$-algebras. 

 

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