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On the multiplicity function of ergodic group extensions, II

Jakub Kwiatkowski; Mariusz Lemańczyk — 1995

Studia Mathematica

For an arbitrary set $A \subseteq ℕ^{+}$ containing 1, an ergodic automorphism T whose set of essential values of the multiplicity function is equal to A is constructed. If A is additionally finite, T can be chosen to be an analytic diffeomorphism on a finite-dimensional torus.

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