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On Constructing Ergodic Hyperfinite Equivalence Relations of Non-Product Type
Published online by Cambridge University Press: 20 November 2018
Abstract
Product type equivalence relations are hyperfinite measured equivalence relations, which, up to orbit equivalence, are generated by product type odometer actions. We give a concrete example of a hyperfinite equivalence relation of non-product type, which is the tail equivalence on a Bratteli diagram. In order to show that the equivalence relation constructed is not of product type we will use a criterion called property $\text{A}$. This property, introduced by Krieger for non-singular transformations, is defined directly for hyperfinite equivalence relations in this paper.
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- Copyright © Canadian Mathematical Society 2013