Algebraic & Geometric Topology Volume 12, issue 3 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

A homological characterization of topological amenability

Jacek Brodzki, Graham A Niblo, Piotr W Nowak and Nick Wright

Algebraic & Geometric Topology 12 (2012) 1763–1776

DOI: 10.2140/agt.2012.12.1763

Bibliography

1	C Anantharaman-Delaroche, J Renault, Amenable groupoids, Monographies de L'Enseignement Mathématique 36, L’Enseignement Mathématique (2000) 196 MR1799683
2	J Block, S Weinberger, Aperiodic tilings, positive scalar curvature and amenability of spaces, J. Amer. Math. Soc. 5 (1992) 907 MR1145337
3	J Brodzki, G A Niblo, P W Nowak, N J Wright, Amenable actions, invariant means and bounded cohomology, to appear in J. Topol. Anal. arXiv:1004.0295
4	J Brodzki, G A Niblo, N J Wright, Pairings, duality, amenability and bounded cohomology, J. Eur. Math. Soc. 14 (2012) 1513
5	M R Buneci, Amenable equivariant maps defined on a groupoid, from: "Advances in operator algebras and mathematical physics", Theta Ser. Adv. Math. 5, Theta, Bucharest (2005) 25 MR2238280
6	R G Douglas, P W Nowak, Invariant expectations and vanishing of bounded cohomology for exact groups, J. Topol. Anal. 3 (2011) 89 MR2784765
7	P Eymard, Moyennes invariantes et représentations unitaires, Lecture Notes in Mathematics 300, Springer (1972) MR0447969
8	E Guentner, J Kaminker, Exactness and the Novikov conjecture, Topology 41 (2002) 411 MR1876896
9	N Higson, J Roe, Amenable group actions and the Novikov conjecture, J. Reine Angew. Math. 519 (2000) 143 MR1739727
10	B E Johnson, Cohomology of Banach Algebras, Mem. Amer. Math. Soc. 127 (1972)
11	P W Nowak, J Špakula, Controlled coarse homology and isoperimetric inequalities, J. Topol. 3 (2010) 443 MR2651367
12	N Ozawa, Amenable actions and exactness for discrete groups, C. R. Acad. Sci. Paris Sér. I Math. 330 (2000) 691 MR1763912
13	F Trèves, Topological vector spaces, distributions and kernels, Academic Press (1967) MR0225131
14	J von Neumann, Zur allgemeinen Theorie des Ma\sses, Fund. Math. 13 (1929) 73