, Volume 59, Issue 5, pp 1063-1071

Combinatorial examples in the theory of AF-algebras

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Abstract

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

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