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Ergodic properties of automorphisms of a locally compact group

Ergodic properties of automorphisms of a locally compact group

The following remark is made by Halmos in his book [2, p. 29]. Can an automorphism of a locally compact but noncompact group be an ergodic measure preserving transformation? Nothing is known about this subject. Only in the compact case has anything ever been done. The aim of this paper …