Factoring strongly irreducible group shift actions onto full shifts of lower entropy

DOI10.4171/GGD/808MaRDI QIDQ6619325

Dawid Huczek, Sebastian Kopacz

Publication date: 15 October 2024

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

topological entropyfree actioncountable amenable groupcomparison property(dynamical) tiling

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Means on groups, semigroups, etc.; amenable groups (43A07) Multidimensional shifts of finite type (37B51)

Cites Work

• Entropy and isomorphism theorems for actions of amenable groups
• Factors and extensions of full shifts
• Tilings of amenable groups
• Mean topological dimension
• Lower entropy factors of sofic systems
• shifts of finite type without equal entropy full shift factors
• Multidimensional sofic shifts without separation and their factors
• A class of $\mathbb {Z}^d$ shifts of finite type which factors onto lower entropy full shifts
• Factoring higher-dimensional shifts of finite type onto the full shift
• Symbolic Extensions of Amenable Group Actions and the Comparison Property

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