Expansive algebraic actions of countable Abelian groups

DOI10.1007/s00605-005-0338-8zbMath1090.22003arXivmath/0502166OpenAlexW2075501867MaRDI QIDQ2494357

Richard B. Miles

Publication date: 26 June 2006

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502166

zbMATH Keywords

valuationintegral domainalgebraic actionexpansiveness

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (3)

Homoclinically expansive actions and a garden of Eden theorem for harmonic models ⋮ Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points ⋮ Homoclinic groups, IE groups, and expansive algebraic actions

Cites Work

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• The adjoint action of an expansive algebraic \(Z^d\)-Action
• Non-archimedean amoebas and tropical varieties
• Automorphisms of compact groups
• Automorphisms of Compact Abelian Groups and Affine Varieties
• The Geometry of Schemes
• Homoclinic points of algebraic $\mathbb {Z}^d$-actions
• Expansiveness of algebraic actions on connected groups
• Entropy geometry and disjointness for zero-dimensional algebraic actions
• Expansive Subdynamics
• Dynamical systems of algebraic origin

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