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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 4, Pages 2–12
DOI: https://doi.org/10.4213/faa3254
(Mi faa3254)
 

On a Classifying Property of Regular Representations

S. M. Ageev

Faculty of Mechanics and Mathematics, Belarus State University, Minsk, Belarus
References:
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.
Funding agency Grant number
Ministry of Education of the Republic of Belarus
This work was supported in part by the Ministry of Education of the Republic of Belarus.
Received: 08.04.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 4, Pages 248–256
DOI: https://doi.org/10.1007/s10688-016-0156-x
Bibliographic databases:
Document Type: Article
UDC: 512.546.4+515.124.62+515.122.4
Language: Russian
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
Citation in format AMSBIB
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