23 citations · 91 across the 27 of their papers we have counts for
4 papers · 1 filter
A homological characterization of topological amenability
Jacek Brodzki, Graham A. Niblo, Piotr Nowak +1
Generalizing Block and Weinberger's characterization of amenability we introduce the notion of uniformly finite homology for a group action on a compact space and use it to give a…
Amenable actions, invariant means and bounded cohomology
Jacek Brodzki, Graham A. Niblo, Piotr Nowak +1
We show that topological amenability of an action of a countable discrete group on a compact space is equivalent to the existence of an invariant mean for the action. We prove also…
Pairings, duality, amenability and bounded cohomology
Jacek Brodzki, Graham A. Niblo, Nick Wright
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 un…
A cohomological characterisation of Yu's Property A for metric spaces
J. Brodzki, G. A. Niblo, N. J. Wright
Property A was introduced by Yu as a non-equivariant analogue of amenability. Nigel Higson posed the question of whether there is a homological characterisation of property A. In t…