Geodesic
Typical $\mathbb Z^n$-actions can be inserted only in injective $\mathbb R^n$-actions
Matematičeskie zametki, Tome 79 (2006) no. 6, pp. 925-930.

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We study actions of the groups $\mathbb Z^n$ and $\mathbb R^n$ by Lebesgue space automorphisms. We prove that a typical $\mathbb Z^n$-action can be inserted only in injective actions of $\mathbb R^n$, $n\in\mathbb N$. We give a simple proof of the fact that a typical $\mathbb Z^2$-action cannot be inserted in an $\mathbb R$-action. 
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V. V. Ryzhikov; S. V. Tikhonov. Typical $\mathbb Z^n$-actions can be inserted only in injective $\mathbb R^n$-actions. Matematičeskie zametki, Tome 79 (2006) no. 6, pp. 925-930. http://geodesic.mathdoc.fr/item/MZM_2006_79_6_a9/

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