Unpublished conference/Abstract (Scientific congresses and symposiums)
Gelfand duality for compact pospaces
De Rudder, Laurent
2017Topology, Algebra and Categories in Logic 2017
 

Files


Full Text
Gelfand duality for compact pospaces.pdf
Publisher postprint (199.58 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
l-algebra; Gelfand-Neumark-Stone duality; compact pospace; semi-ring; bounded archimedean semi algebra
Abstract :
[en] It is well known that the category of compact Hausdorff spaces is dually equivalent to the category of commutative C^\star-algebras. More generally, this duality can be seen as a part of a square of dualities between compact Hausdorff spaces, C^\star-algebras, compact regular frames and de Vries algebras. Three of these dualities have been extended to dualities between compact pospaces, stably compact frames and proximity frames, the fourth part of the square being lacking. We propose the category of bounded Archimedean l-semi-algebra to complete what will be the outside square of dualities and to extend to category of C^\star-algebras.
Disciplines :
Mathematics
Author, co-author :
De Rudder, Laurent ;  Université de Liège > Département de mathématique > Algèbre et logique
Language :
English
Title :
Gelfand duality for compact pospaces
Publication date :
June 2017
Event name :
Topology, Algebra and Categories in Logic 2017
Event place :
Prague, Czechia
Event date :
du 26 au 30 juin 2017
Audience :
International
Available on ORBi :
since 29 May 2017

Statistics


Number of views
87 (13 by ULiège)
Number of downloads
172 (12 by ULiège)

Bibliography


Similar publications



Contact ORBi