Groups and Operator Algebras Seminar
Speaker: Bhishan Jacelon (Czech Academy of Sciences)
Title: Quantum metric Choquet simplices
Abstract: I will describe some recent work on a special class of
compact quantum metric spaces. Abstractly, the additional requirement
on the underlying order unit spaces is the Riesz interpolation
property. In practice, this means that I am interested in Lipschitz
seminorms arising from metrics on trace spaces (rather than state
spaces), and the added structure is designed for measuring distances
in and around the category of stably finite classifiable C*-algebras.
I will give some examples and explain how to build (continuous fields
of) new ones by forming 'quantum crossed products' associated to
dynamical systems on compact metric spaces.