Compactifications of bundles of C*-algebras
Submitted: 2025-07-29
|Accepted: 2026-05-04
|Published: 2026-06-17
Copyright (c) 2026 Clara Marina Neira-Uribe, Januario Varela
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Bundles of C*-algebras, Stone- Čech compactification, localization process
Supporting agencies:
Universidad Nacional Facultad de Ciencias (Bogotá)
Abstract:
This article presents the construction of a bundle of C*-algebras with a compact base space by means of localization processes resorting to inductive limits. This construction achieved in terms of the Stone-Čech compactification provides a solution to the compactness issue raised by P. Bertozzini, R. Conti and N. Pitiwan in Discrete Non-Commutative Gelfand-Naimark Duality, where the lack of compactness in the base space was an obstacle for the foreseen applications to quantum mechanics.
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