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An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups

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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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Authors and Affiliations

  1. Dipartimento di Ingegneria, Università del Sannio, C.so Garibaldi 107, 82100, Benevento, Italy

    Tullio Ceccherini-Silberstein

  2. Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, 67000, Strasbourg, France

    Michel Coornaert

  3. Lycée Général et Technologique Adam de Craponne, 218 rue Chateauredon, 13300, Salon-de-Provence, France

    Fabrice Krieger

Authors
  1. Tullio Ceccherini-Silberstein
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  2. Michel Coornaert
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  3. Fabrice Krieger
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Correspondence to Tullio Ceccherini-Silberstein.

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Ceccherini-Silberstein, T., Coornaert, M. & Krieger, F. An analogue of Fekete’s lemma for subadditive functions on cancellative amenable semigroups. JAMA 124, 59–81 (2014). https://doi.org/10.1007/s11854-014-0027-4

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  • DOI: https://doi.org/10.1007/s11854-014-0027-4

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