Augmented dimension groups and ordered cohomology

DOI10.1017/S0143385708080449zbMath1184.37033MaRDI QIDQ3598961

Megan Smith, Marcy M. Barge

Publication date: 3 February 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

substitution shiftsalgebraic methods in dynamics

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05)

Related Items (2)

New techniques for classifying Williams solenoids ⋮ The homology core of matchbox manifolds and invariant measures

Cites Work

• Asymptotic orbits of primitive substitutions
• New techniques for classifying Williams solenoids
• Ordered \(K\)-groups associated to substitutional dynamics
• One-dimensional non-wandering sets
• A complete invariant for the topology of one-dimensional substitution tiling spaces
• Augmenting dimension group invariants for substitution dynamics
• Topological invariants for substitution tilings and their associated $C^\ast$-algebras
• A graph approach to computing nondeterminacy in substitutional dynamical systems

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