MIXING FOR DYADIC EQUIVALENCE
Acta mathematica Universitatis Comenianae, Tome 64 (1995) no. 1
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The notion of dyadic orbit equivalence for measure-preserving actions of $\Gamma =\oplus_1^\infty Z_2$ on non-atomic probability spaces is introduced and it is shown that every dyadic equivalence class contains a mixing action. Also, a direct proof of a theorem of Stepin's characterizing the values of entropy across an equivalence class is given.