Mathematics – Dynamical Systems
Scientific paper
2008-03-28
Mathematics
Dynamical Systems
Scientific paper
Let \alpha_0 be an affine action of a discrete group \Gamma on a compact homogeneous space X and \alpha_1 a smooth action of \Gamma on X which is C^1-close to \alpha_0. We show that under some conditions, every topological conjugacy between \alpha_0 and \alpha_1 is smooth. In particular, our results apply to Zariski dense subgroups of SL_d(Z) acting on the torus T^d and Zariski dense subgroups of a simple noncompact Lie group G acting on a compact homogeneous space X of G with an invariant measure.
Gorodnik Alexander
Hitchman Theron
Spatzier Ralf
No associations
LandOfFree
Regularity of conjugacies of algebraic actions of Zariski dense groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Regularity of conjugacies of algebraic actions of Zariski dense groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity of conjugacies of algebraic actions of Zariski dense groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-174127