Approximately finite-dimensional 𝐶*-algebras and Bratteli diagrams
Aldo J. Lazar, D. C. Taylor · Transactions of the American Mathematical Society · 1980
We determine properties of an AF algebra by observing the characteristics of its diagram. In particular, we characterize AF algebras that are liminal, postliminal, antiliminal and with continuous trace; moreover, we characterize liminal AF algebras with Hausdorff spectrum. Some elementary examples of AF algebras with certain desired properties are constructed by using these characterizations.