Approximately finite dimensional c*-algebras and bratteli diagrams

A. J. Lazar, D. C. Taylor

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)599-619
Number of pages21
JournalTransactions of the American Mathematical Society
Volume259
Issue number2
DOIs
StatePublished - Nov 1980

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