We study some dynamical properties of the canonical -action on the space of redundant representations of the free group in , where is the group of rational points of a simple algebraic group over a local field. We show that this action is always minimal and ergodic, confirming a conjecture of A. Lubotzky. On the other hand for the classical cases where or we show that the action is not weak mixing, in the sense that the diagonal action on is not ergodic.
Cite this article
Tsachik Gelander, Yair N. Minsky, The dynamics of on redundant representations. Groups Geom. Dyn. 7 (2013), no. 3, pp. 557–576DOI 10.4171/GGD/197