Ergodic amenable actions of algebraic groups

2003/06/19 by C. R. E. Raja
Mathematics · #math.DS #math.GR #msc:22D40 #msc:22F10

paper · pdf

published as Glasgow Math. J. 46 (2004), 97-100 · 5 pages, to appear in Glasgow Mathematical Journal

arxiv created 2003/06/19 · arxiv updated 2009/11/30

Abstract

We prove that every ergodic amenable action of an algebraic group over a local field of characteristic zero is induced from an ergodic action of an amenable subgroup.

Related

• Ergodicity of algebraic actions of nilpotent groups
• Intrinsic Ergodicity, Generators and Symbolic Representations of Algebraic Group Actions
• Ergodic theory of amenable semigroup actions
• Ergodicity of principal algebraic group actions
• Sub-additive ergodic theorems for countable amenable groups