Regularity of conjugacies of algebraic actions of Zariski dense groups

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dc.creatorGorodnik, Alexander
dc.creatorHitchman, Theron
dc.creatorSpatzier, Ralf
dc.date2008-03-28
dc.date2008-06-08
dc.date.accessioned2026-07-07T09:42:56Z
dc.date.available2026-07-07T09:42:56Z
dc.descriptionLet α_0 be an affine action of a discrete group Γon a compact homogeneous space X and α_1 a smooth action of Γon X which is C^1-close to α_0. We show that under some conditions, every topological conjugacy between α_0 and α_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.
dc.identifierhttps://arxiv.org/abs/0803.4129
dc.identifierhttp://arxiv.org/abs/0803.4129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162372
dc.subjectDynamical Systems
dc.titleRegularity of conjugacies of algebraic actions of Zariski dense groups
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