Expansiveness of algebraic actions on connected groups

DOI10.1090/S0002-9947-04-03590-1zbMath1173.37306arXivmath/0003207MaRDI QIDQ4811896

Siddhartha Bhattacharya

Publication date: 6 September 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003207

Mathematics Subject Classification ID

Related Items (5)

The nonexistence of sensitive commutative group actions on dendrites ⋮ Homoclinically expansive actions and a garden of Eden theorem for harmonic models ⋮ Expansive algebraic actions of countable Abelian groups ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ Expansive automorphisms on locally compact groups

Cites Work

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• The cohomology of expansive \(\mathbb{Z}^ d\)-actions by automorphisms of compact, Abelian groups
• Orbit equivalence and topological conjugacy of affine actions on compact abelian groups
• Automorphisms of compact groups
• Automorphisms of Compact Abelian Groups and Affine Varieties
• Homoclinic points of algebraic $\mathbb {Z}^d$-actions
• The relationship between algebraic numbers and expansiveness of automorphisms on compact abelian groups
• Expansive automorphisms of finite-dimensional vector spaces
• On Expansive Transformation Groups
• Expansive Subdynamics
• Dynamical systems of algebraic origin
• Lie groups beyond an introduction

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