Geodesic
Pairings, duality, amenability and bounded cohomology
Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1513-1518

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/338
Classification : 20-XX, 43-XX, 00-XX
Keywords: Amenability, group cohomology, bounded cohomology, uniformly finite homology, invariant means 
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     title = {Pairings, duality, amenability and bounded cohomology},
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Jacek Brodzki; Graham A. Niblo; Nick Wright. Pairings, duality, amenability and bounded cohomology. Journal of the European Mathematical Society, Tome 14 (2012) no. 5, pp. 1513-1518. doi: 10.4171/jems/338

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