Geodesic
Factoring strongly irreducible group shift actions onto full shifts of lower entropy
Dawid Huczek1 orcid ; Sebastian Kopacz1 orcid
1Wrocław University of Science and Technology, Wrocław, Poland
Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1185-1199

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DOI

We show that if G is a countable amenable group G with the comparison property and X is a strongly irreducible G-shift satisfying certain aperiodicity conditions, then X factors onto the full G-shift on N symbols, so long as the logarithm of N is less than the topological entropy of G.
DOI : 10.4171/ggd/808
Classification : 37B10, 37B40, 43A07
Mots-clés : countable amenable group, (dynamical) tiling, free action, topological entropy, comparison property

Dawid Huczek  1   ; Sebastian Kopacz  1

1 Wrocław University of Science and Technology, Wrocław, Poland 
Dawid Huczek; Sebastian Kopacz. Factoring strongly irreducible group shift actions onto full shifts of lower entropy. Groups, geometry, and dynamics, Tome 18 (2024) no. 4, pp. 1185-1199. doi: 10.4171/ggd/808
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     title = {Factoring strongly irreducible group shift actions onto full shifts of lower entropy},
     journal = {Groups, geometry, and dynamics},
     pages = {1185--1199},
     year = {2024},
     volume = {18},
     number = {4},
     doi = {10.4171/ggd/808},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/808/}
}
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