Geodesic
Equivariant absolute extensors for free actions of compact groups
Serdica Mathematical Journal, Tome 44 (2018) no. 1-2, pp. 187-194.

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For every compact metrizable group G there is a free universal G-action on the Hilbert space ℓ2 which makes ℓ2 a G-equivariant absolute extensor for the class of free G-spaces.
Keywords: compact group, absolute extensor, 55M15, 57S10, 55R35 
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     title = {Equivariant absolute extensors for free actions of compact groups},
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Ageev, Sergey; Dranishnikov, Alexander; Keesling, James. Equivariant absolute extensors for free actions of compact groups. Serdica Mathematical Journal, Tome 44 (2018) no. 1-2, pp. 187-194. http://geodesic.mathdoc.fr/item/SMJ2_2018_44_1-2_a9/