Homogenous projective factors for actions of semi-simple Lie groups

@article{Nevo1999HomogenousPF,
  title={Homogenous projective factors for actions of semi-simple Lie groups},
  author={A. Nevo and R. Zimmer},
  journal={Inventiones mathematicae},
  year={1999},
  volume={138},
  pages={229-252}
}
Abstract.We analyze the structure of a continuous (or Borel) action of a connected semi-simple Lie group G with finite center and real rank at least 2 on a compact metric (or Borel) space X, using the existence of a stationary measure as the basic tool. The main result has the following corollary: Let P be a minimal parabolic subgroup of G, and K a maximal compact subgroup. Let λ be a P-invariant probability measure on X, and assume the P-action on (X,λ) is mixing. Then either λ is invariant… Expand
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