Smoothing the generators of a Lie group of transformations (Q788347)

The main result of the paper is that a \(C^{\nu}\)-action of a compactly generated Lie group on a \(C^{\infty}\)-manifold, possibly with boundary, may be conjugated by a \(C^{\nu}\)-diffeomorphism arbitrarily close to the identity so as to produce an action with \(C^{\nu}\) infinitesimal generators. The corresponding result for Abelian Lie groups had been proved by \textit{D. Hart} [ibid. 22, 357-363 (1983; Zbl 0525.57020)].