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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Approximately finite-dimensional $ C\sp{\ast} $-algebras and Bratteli diagrams


Authors: A. J. Lazar and D. C. Taylor
Journal: Trans. Amer. Math. Soc. 259 (1980), 599-619
MSC: Primary 46L05; Secondary 46L35
MathSciNet review: 567100
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0567100-9
PII: S 0002-9947(1980)0567100-9
Article copyright: © Copyright 1980 American Mathematical Society