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On a Classifying Property of Regular Representations
S. M. Ageev Faculty of Mechanics and Mathematics, Belarus State University, Minsk, Belarus
Abstract:
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.
Received: 08.04.2016
Citation:
S. M. Ageev, “On a Classifying Property of Regular Representations”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 2–12; Funct. Anal. Appl., 50:4 (2016), 248–256
Linking options:
https://www.mathnet.ru/eng/faa3254https://doi.org/10.4213/faa3254 https://www.mathnet.ru/eng/faa/v50/i4/p2
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