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A dissipative transformation with a trivial tail-algebra
Authors:F H Simons
Institution:(1) Department of Mathematics, Technological University Eindhoven, P.O. Box 513, Eindhoven, Netherlands
Abstract:Summary In 1], an example was given of a measure-preserving dissipative transformation T in a sgr-finite measure space (X, Rscr, Mgr), such that T is conservative in the measure space (X, Rscrinfin, Mgr) where 
$$\mathcal{R}_\infty   = \mathop  \cap \limits_{n = 0}^\infty  T^{ - n} \mathcal{R}$$
. Here we shall show that for this transformation we actually have R infin={ØX}mgr].
Keywords:
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