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Feb 20, 2016 at 20:45 comment added YCor Yes, it does answer your question. By contraposition: if the group is not locally compact, then it can't act properly on any manifold.
Feb 20, 2016 at 20:28 comment added s k yes but this does not answer my question, I'm not asking if the group is locally compact. The diffeomorphism group is not locally compact.
Feb 20, 2016 at 20:07 history answered YCor CC BY-SA 3.0