Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras. (English) Zbl 1123.46042
Summary: A method is described which identifies a wide variety of AF algebra dimension groups with groups of continuous functions. The results here generalize the well-known fact that commutative AF algebras have dimension groups which can be identified with groups of integer-valued continuous functions.
MSC:
| 46L05 | General theory of \(C^*\)-algebras |
| 37B10 | Symbolic dynamics |
| 46L80 | \(K\)-theory and operator algebras (including cyclic theory) |
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