A globalisation of the Gelfand duality theorem

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A globalisation of the Gelfand duality theorem

In this paper, we establish that Gelfand duality holds between the category of commutative C*-algebras and the category of compact, completely regular locales in any Grothendieck topos. It should be remarked immediately that this result represents the final step in a chain of preliminary papers that have appeared over a period of time. Indeed, the work contained in these papers was originally p...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 2006

ISSN: 0168-0072

DOI: 10.1016/j.apal.2005.05.018