Shifts on compact and discrete Lie groups: Algebraic-topological invariants and classification problems

DOI10.1006/aima.1997.1632zbMath0885.54028OpenAlexW2083099904WikidataQ115396407 ScholiaQ115396407MaRDI QIDQ1369694

Fabio Fagnani

Publication date: 18 March 1998

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1632

zbMATH Keywords

controllabilityinvariantssymbolic dynamicstransitivitytopological entropyalgebraic conjugacygroup shiftslimit dimension

Mathematics Subject Classification ID

Related Items (6)

Difference equations, shift operators and systems over Noetherian factorial domains ⋮ Subgroups of direct products closely approximated by direct sums ⋮ Homomorphic encoders of profinite abelian groups. I ⋮ Report on the open problems session ⋮ Classification problems for shifts on modules over a principal ideal domain ⋮ group shifts and Bernoulli factors

Cites Work

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• Ergodic theory on compact spaces
• Serre's conjecture
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• Some results on the classification of expansive automorphisms of compact abelian groups
• Endomorphisms and automorphisms of the shift dynamical system
• Metric properties of endomorphisms of compact groups
• On Affine Transformations of Locally Compact Groups
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