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Pairings, duality, amenability and bounded cohomology

By Jacek Brodzki, Graham A. Niblo and Nick Wright

Abstract

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

Topics: QA
Year: 2012
OAI identifier: oai:eprints.soton.ac.uk:79402
Provided by: e-Prints Soton

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Citations

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