Published in Journal of Lie Theory, Volume 18, Issue 4, January 1, 2008, pages 979-1007.
For a compact, smooth Cr orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for 1 ≤ r < ∞ and a Fréchet manifold if r = ∞. In each case, the local model is the separable Banach (Fréchet) space of Cr (C ∞, resp.) orbisections of the tangent orbibundle.
2008 Journal of Lie Theory.