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An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups |
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| Authors: | Tullio Ceccherini-Silberstein Michel Coornaert Fabrice Krieger |
| Institution: | 1. Dipartimento di Ingegneria, Università del Sannio, C.so Garibaldi 107, 82100, Benevento, Italy 2. Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, 67000, Strasbourg, France 3. Lycée Général et Technologique Adam de Craponne, 218 rue Chateauredon, 13300, Salon-de-Provence, France |
| Abstract: | We prove an analogue of Fekete’s lemma for subadditive right-subinvariant functions defined on the finite subsets of a cancellative left-amenable semigroup. This extends results previously obtained in the case of amenable groups by E. Lindenstrauss and B. Weiss and by M. Gromov. |
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