ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 64,   1   (1995)
pp.   141-152

J. R. HASFURA-BUENAGA

Abstract.  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.

AMS subject classification.  28D05, 28D20
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