On minimal, strongly proximal actions of locally compact groups

  title={On minimal, strongly proximal actions of locally compact groups},
  author={Alex Furman},
  journal={Israel Journal of Mathematics},
  • A. Furman
  • Published 1 December 2003
  • Mathematics
  • Israel Journal of Mathematics
Minimal, strongly proximal actions of locally compact groups on compact spaces, also known asboundary actions, were introduced by Furstenberg in the study of Lie groups. In particular, the action of a semi-simple real Lie groupG on homogeneous spacesG/Q, whereQ ⊂G is a parabolic subgroup, are boundary actions. Countable discrete groups admit a wide variety of boundary actions. In this note we show that ifX is a compact manifold with a faithful boundary action of some locally compact groupH… 
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