TY - JOUR
T1 - Approximately finite dimensional c*-algebras and bratteli diagrams
AU - Lazar, A. J.
AU - Taylor, D. C.
PY - 1980/11
Y1 - 1980/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0002336846&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-1980-0567100-9
DO - 10.1090/S0002-9947-1980-0567100-9
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AN - SCOPUS:0002336846
SN - 0002-9947
VL - 259
SP - 599
EP - 619
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 2
ER -