Pairings, duality, amenability and bounded cohomology

• Autores: Jacek Brodzki, Graham A. Niblo, Nick Wright
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 14, Nº 5, 2012, págs. 1513-1518
• Idioma: inglés
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• Resumen

  • We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.