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Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras - MaRDI portal

Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras (Q884220)

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Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras
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    Minimal Bratteli diagrams and the dimension groups of AF \(C^{*}\)-algebras (English)
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    13 June 2007
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    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.
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    AF algebras
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    dimension groups
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