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. 
@article{MZM_2006_79_6_a9,
     author = {V. V. Ryzhikov and S. V. Tikhonov},
     title = {Typical $\mathbb Z^n$-actions can be inserted only in injective $\mathbb R^n$-actions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {925--930},
     publisher = {mathdoc},
     volume = {79},
     number = {6},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_6_a9/}
}
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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/