# 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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