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Properties of ergodic affine transformations of locally compact groups, III

Properties of ergodic affine transformations of locally compact groups, III

Let G be an abelian group.An affine transformation S of G is a transformation of G onto itself of the form S(x)-a+ T(x), where a e G and T is an automorphism o G.In case G is a locally compact non- discrete topological group, it has been proved (cf.[1], [2], …