Title: A JOINING CHARACTERIZATION OF FACTORS OF SIMPLE MAPS
Abstract: Let T be an ergodic measure preserving transformation on (X, B, μ). It is called 2-simple if every 2-fold ergodic joining is either a product measure or an off-diagonal measure. In general, factors of simple maps are not simple. So far, there has been no characterization of the factor of simple maps. In this paper, we give a joining characterization of factors of simple maps.
Publication Year: 2007
Publication Date: 2007-09-01
Language: en
Type: article
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