PIRSA:15100063

C*-algebras as cosheaves with self-action

Flori, C. (2015). C*-algebras as cosheaves with self-action. Perimeter Institute. https://pirsa.org/15100063

Flori, Cecilia. C*-algebras as cosheaves with self-action. Perimeter Institute, Oct. 20, 2015, https://pirsa.org/15100063 

          @misc{ pirsa_PIRSA:15100063,
            doi = {10.48660/15100063},
            url = {https://pirsa.org/15100063},
            author = {Flori, Cecilia},
            keywords = {Quantum Foundations},
            language = {en},
            title = {C*-algebras as cosheaves with self-action},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100063 see, \url{https://pirsa.org}}
          }

Cecilia Flori

DOI 10.48660/15100063
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk we will discuss how C*-algebras can be identified and characterised in terms of certain cosheaves with self-action. The reason we are interested in such a study is it to try and give a rigorous mathematical derivation of the axioms of quantum theory. In particular, many of the standard axioms for C*-algebras have unclear physical and operational meaning, but by defining an equivalence of categories between C*-algebras and cosheaves with self-action, we believe that these axioms can acquire a clear operational meaning. So far, however, we have only managed to show that every C*-algebra becomes a cosheaf with self-action, but we don't know whether the converse holds as well. This work is done in collaboration with Tobias Fritz.