PIRSA:14040140

Video URL

https://pirsa.org/14040140

Categories of Convex Sets and C*-Algebras

Furber, R. (2014). Categories of Convex Sets and C*-Algebras. Perimeter Institute for Theoretical Physics. https://pirsa.org/14040140

Furber, Robert. Categories of Convex Sets and C*-Algebras. Perimeter Institute for Theoretical Physics, Apr. 15, 2014, https://pirsa.org/14040140 

          @misc{ scivideos_PIRSA:14040140,
            doi = {10.48660/14040140},
            url = {https://pirsa.org/14040140},
            author = {Furber, Robert},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Categories of Convex Sets and C*-Algebras},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2014},
            month = {apr},
            note = {PIRSA:14040140 see, \url{https://scivideos.org/index.php/pirsa/14040140}}
          }

Robert Furber Radboud Universiteit Nijmegen

Talk numberPIRSA:14040140
DOI10.48660/14040140
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

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.