Bhishan Jacelon, Institute of Mathematics, CAS. Quantum metric Choquet simplices.
This talk will take place in the blue seminar room, back building Žitná 25, and on Zoom.
I will describe some work in progress 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 associated to metrics on the trace spaces of separable, unital C*-algebras. This added structure is designed for measuring distances in and around the category of 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, connected metric spaces.
NCG&T Prague 