Article ID Journal Published Year Pages File Type
4662680 Annals of Pure and Applied Logic 2006 42 Pages PDF
Abstract

In this paper we bring together results from a series of previous papers to prove the constructive version of the Gelfand duality theorem in any Grothendieck topos E, obtaining a dual equivalence between the category of commutative C∗-algebras and the category of compact, completely regular locales in the topos E.

Related Topics
Physical Sciences and Engineering Mathematics Logic