Smooth Lie group actions are parametrized diffeological subgroups

@inproceedings{IGLESIASZEMMOUR2010SmoothLG,
  title={Smooth Lie group actions are parametrized diffeological subgroups},
  author={Patrick IGLESIAS-ZEMMOUR and Yael Karshon},
  year={2010}
}
We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset diffeology of the functional diffeology. 
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