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The Category of Bratteli Diagrams

The Category of Bratteli Diagrams

Abstract A category structure for Bratteli diagrams is proposed and a functor from the category of AF algebras to the category of Bratteli diagrams is constructed. Since isomorphism of Bratteli diagrams in this category coincides with Bratteliā€™s notion of equivalence, we obtain in particular a functorial formulation of Bratteliā€™s classification ā€¦