Geodesic
On a Classifying Property of Regular Representations
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 2-12.

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We show that, for each connected compact Lie group $G$, the Hilbert $G$-space $L_2(G)$ and the Banach $G$-space $C(G;\mathbb{C})$ classify the $G$-spaces.
Keywords: classifying $G$-spaces, isovariant absolute extensor, regular representation space. 
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S. M. Ageev. On a Classifying Property of Regular Representations. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 4, pp. 2-12. http://geodesic.mathdoc.fr/item/FAA_2016_50_4_a1/

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