# A JOINING CHARACTERIZATION OF FACTORS OF SIMPLE MAPS

• Ahn, Young-Ho (Department of Mathematics, Mokpo National University)
• Published : 2007.09.30

#### Abstract

Let T be an ergodic measure preserving transformation on (X, B, ${\mu}$). 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.