Pythagorean (in)equalities in noncommutative geometry
Speaker: Francesco D'Andrea, University of Naples
Abstract: In many different fields, from transport theory to quantum information, one is lead to study metrics on the state space S of a C*-algebra. A "geometric" way to define a distance on S is by means of a spectral triple. I will discuss the relation between Connes' distance and the product metric for a product of two spectral triples. I will present some (optimal) inequalities that are satisfied by arbitrary states and spectral triples, and a criterion that can be applied to some classes of examples to investigate whether Connes' distance and the product metric coincide.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm