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Perfect Orderings on Finite Rank Bratteli Diagrams

Perfect Orderings on Finite Rank Bratteli Diagrams

Abstract Given a Bratteli diagram B , we study the set š¯’Ŗ B of all possible orderings on B and its subset P B consisting of perfect orderings that produce Bratteliā€“Vershik topological dynamical systems (Vershik maps). We give necessary and sufficient conditions for the ordering Ļ‰ to be perfect. On ā€¦