Combinatorial examples in the theory of AF-algebras

Abstract

We give examples of ramification graphs having combinatorial origin. These graphs determine the group of dimensions and traces of the corresponding AF-algebras.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Akad. Nauk SSSR, Vol. 172, pp. 55–67, 1989.

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Kerov, S.V. Combinatorial examples in the theory of AF-algebras. J Math Sci 59, 1063–1071 (1992). https://doi.org/10.1007/BF01480687

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