Compactifications of bundles of C*-algebras

• Neira-Uribe, Clara Marina ^[1] ; Varela, Januario ^[1]
  1. [1] Universidad Nacional de Colombia

     Universidad Nacional de Colombia

     Colombia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.4995/agt.24402
• Enlaces
  • Texto completo
• Resumen

  • 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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