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.

UDC: 512.546.4+515.124.62+515.122.4

Received: 08.04.2016

DOI: 10.4213/faa3254

 English version: Functional Analysis and Its Applications, 2016, 50:4, 248–256

Bibliographic databases:

• 
• 
• 
• 
•