Factoring strongly irreducible group shift actions onto full shifts of lower entropy
Dawid Huczek, Sebastian Kopacz · Groups Geometry and Dynamics · 2024
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 .