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Continuous fields of interval algebras

2025/04/14 by Laurent Cantier, Cantier, Laurent
Computer Science · #Fuzzy Logic and Control Systems #Advanced Algebra and Logic #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2504.10328

Abstract

This paper investigates and classifies a specific class of one-parameter continuous fields of C*-algebras, which can be seen as generalized AI-algebras. Building on the classification of *-homomorphisms between interval algebras by the Cuntz semigroup, along with a selection theorem and a gluing procedure, we employ a 'local-to-global' strategy to achieve our classification result.

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