19 citations · 78 across the 17 of their papers we have counts for
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math.GR2010
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…
math.GR2010
Diameters, distortion and eigenvalues
Rostislav I. Grigorchuk, Piotr W. Nowak
We study the relation between the diameter, the first positive eigenvalue of the discrete -Laplacian and the -distortion of a finite graph. We prove an inequality relati…
math.GR2010
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…