Projectional entropy for actions of amenable groups
Volume 176 / 2024
Colloquium Mathematicum 176 (2024), 147-157
MSC: Primary 37B05; Secondary 37B40, 37B10
DOI: 10.4064/cm9339-9-2024
Published online: 23 October 2024
Abstract
We transfer the notion of projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible, equality of the entropy and the projectional entropy implies that the system has a product-like structure.
