Categories of Convex Sets and C*-Algebras

The start of the talk will be an outline how the ordinary notions of quantum theory translate into the category of C*-algebras, where there are several possible choices of morphisms. The second half will relate this to a category of convex sets used as state spaces. Alfsen and Shultz have characterized the convex sets arising from state spaces C*-algebras and this result can be applied to get a categorical equivalence between C*-algebras and state spaces of C*-algebras which is a generalization of the equivalence between the Schroedinger and Heisenberg pictures.

Event Type: 
Scientific Area(s): 
Event Date: 
Tuesday, April 15, 2014 - 15:30 to 17:00
Time Room
Room #: