Collection Topos à l'IHES
Organizer(s)
Date(s)
30/04/2024
Operator algebras from toposes
By Simon Henry
Grothendieck Toposes and $C^_$-algebras are two distinct generalizations of the concept of topological space and there is a lot of examples of objects to which one can attach both a topos and a $C^_$-algebra in order to study there properties: dynamical systems, foliations, Graphs, Automaton, topological groupoids etc. It is hence a natural question to try to understand the relation between these two sort different object. In this talk I will explain how to attach $C^_$-algebras and Von Neuman al gebras to (reasonable) toposes, in a way that recover the $C^_$-algebra attached to all the above examples.
