  We quantize the Alekseev-Meinrenken solution r to the classical dynamical
Yang-Baxter equation, associated to a Lie algebra g with an element t in
S^2(g)^g. Namely, we construct a dynamical twist J with nonabelian base in the
sense of P. Xu, whose quasiclassical limit is r-t/2. This twist gives rise to a
dynamical quantum R-matrix, and also provides a quantization of the
quasi-Poisson manifold and Poisson groupoid associated to r. The twist J is
obtained by an appropriate renormalization of the Knizhnik-Zamolodchikov
associator for g, introduced by Drinfeld.
