Pairings, duality, amenability and bounded cohomology
Group Theory
2010-03-15 v1
Abstract
We give a new perspective on the homological characterisations of amenability given by Johnson 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.
Keywords
Cite
@article{arxiv.1003.2584,
title = {Pairings, duality, amenability and bounded cohomology},
author = {Jacek Brodzki and Graham A. Niblo and Nick Wright},
journal= {arXiv preprint arXiv:1003.2584},
year = {2010}
}