39 citations · 78 across the 18 of their papers we have counts for
4 papers · 1 filter
Centralisers, complex reflection groups and actions in the Weyl group
Graham A. Niblo, Roger Plymen, Nick Wright
The compact, connected Lie group admits two forms: simply connected and adjoint type. As we previously established, the Baum-Connes isomorphism relates the two Langlands dual…
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…