The localization theorem is known for compact $G$-spaces, where $G$ is a compact Lie group. In this study, we show that the localization theorem remains true for finite-dimensional compact group actions, and Borel's fixed point theorem holds not only for torus actions but for arbitrary finite-dimensional compact connected abelian group actions.
ÖZKURT, ALİ ARSLAN and ONAT, MEHMET
"The localization theorem for finite-dimensional compact group actions,"
Turkish Journal of Mathematics: Vol. 42:
4, Article 2.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/2