Abstract
Abstract Parallel to the first two authors’ earlier classification of separable, unital, one-parameter, continuous fields of Kirchberg algebras with torsion free K-groups supported in one dimension, one-parameter, separable, unital, continuous fields of AF-algebras are classified by their ordered K0-sheaves. Effros-Handelman-Shen type theorems are proved for separable unital one-parameter continuous fields of AF-algebras and Kirchberg algebras.
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