Group Actions on Aspherical Alexandrov Spaces

Abstract

Conner and Raymond proved that if a connected, compact Lie group $G$ acts effectively on a closed aspherical manifold $M$, then $G$ is a torus and the fundamental group of $G$ injects into the center of ${\pi }_1(M)$. We prove the corresponding result for effective isometric actions on closed, aspherical Alexandrov spaces.

arXiv comment13 pages