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In the study of aperiodic order via dynamical methods, topological entropy isan important concept. In this paper, parts of the theory, like Bowen's formulafor fibre wise entropy or the independence of the definition from the choice ofa Van Hove sequence, are extended to actions of several non-discrete groups. Toestablish these results, we will show that the Ornstein-Weiss lemma is validfor all considered groups which appear in the study of cut and project schemes.

Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes