Regularity of conjugacies of algebraic actions of Zariski-dense groups

A Gorodnik, T Hitchman, R Spatzier

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

Let be an affine action of a discrete group on a compact homogeneous space and a smooth action of on which is -close to . We show that under some conditions, every topological conjugacy between and is smooth. In particular, our results apply to Zariski-dense subgroups of acting on the torus and Zariski-dense subgroups of a simple noncompact Lie group acting on a compact homogeneous space of with an invariant measure.
Translated title of the contributionRegularity of conjugacies of algebraic actions of Zariski-dense groups
Original languageEnglish
Pages (from-to)509 - 540
Number of pages32
JournalJournal of Modern Dynamics
Volume2, issue 3
DOIs
Publication statusPublished - Jul 2008

Bibliographical note

Publisher: American Institute of Mathematical Sciences

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