Continuous fields of interval algebras
Operator Algebras
2026-01-08 v2
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.
Keywords
Cite
@article{arxiv.2504.10328,
title = {Continuous fields of interval algebras},
author = {Laurent Cantier},
journal= {arXiv preprint arXiv:2504.10328},
year = {2026}
}
Comments
19 pages, Accepted in JMAA