On orbit equivalence of borel automorphisms

Chaube, P. ; Nadkarni, M. G. (1989) On orbit equivalence of borel automorphisms Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 99 (3). pp. 255-261. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/99/3/255-26...

Related URL: http://dx.doi.org/10.1007/BF02864398

Abstract

Let E and F be two Borel sets of the countable product Z of the two point space {0,1}. Assume that E and F are invariant sets for the odometer transformation R and that E and F are of measure zero with respect to the unique finite R-invariant measure on Z. We show that E and F are R-orbit equivalent in a strict sense.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Odometer Transformation; Orbit Equivalence of Borel Automorphisms; Compressibility
ID Code:23426
Deposited On:25 Nov 2010 09:13
Last Modified:17 May 2016 07:15

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