Skew-product for Group-valued Edge Labellings of Bratteli Diagrams
نویسندگان
چکیده
Group valued edge labellings λ of a Bratteli diagram B give rise to a skew-product Bratteli diagram B(λ) on which the group acts. The quotient by the group action of the associated dynamics can be a nontrivial extension of the dynamics of B. We exhibit a Bratteli diagram for this quotient and construct a morphism to B with unique path lifting property. This is shown to be an isomorphism for the dynamics if a property ‘loops lifting to loops’ is satisfied by B(λ) → B.
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