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- W2101806791 abstract "We consider a minimal, free action, φ, of the group ℤ d on the Cantor set X, for d ≥ 1. We introduce the notion of small positive cocycles for such an action. We show that the existence of such cocycles allows the construction of finite Kakutani–Rohlin approximations to the action. In the case, d = 1, small positive cocycles always exist and the approximations provide the basis for the Bratteli–Vershik model for a minimal homeomorphism of X. Finally, we consider two classes of examples when d = 2 and show that such cocycles exist in both." @default.
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- W2101806791 date "2009-09-01" @default.
- W2101806791 modified "2023-09-24" @default.
- W2101806791 title "COCYCLES FOR CANTOR MINIMAL ℤd-SYSTEMS" @default.
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- W2101806791 doi "https://doi.org/10.1142/s0129167x09005686" @default.
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