# Pairings, duality, amenability and bounded cohomology

Jacek Brodzki; Graham A. Niblo; Nick J. Wright

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 5, page 1513-1518
- ISSN: 1435-9855

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topBrodzki, Jacek, Niblo, Graham A., and Wright, Nick J.. "Pairings, duality, amenability and bounded cohomology." Journal of the European Mathematical Society 014.5 (2012): 1513-1518. <http://eudml.org/doc/277288>.

@article{Brodzki2012,

abstract = {We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.},

author = {Brodzki, Jacek, Niblo, Graham A., Wright, Nick J.},

journal = {Journal of the European Mathematical Society},

keywords = {amenability; group cohomology; bounded cohomology; uniformly finite homology; invariant means; amenability; group cohomology; bounded cohomology; uniformly finite homology; invariant means},

language = {eng},

number = {5},

pages = {1513-1518},

publisher = {European Mathematical Society Publishing House},

title = {Pairings, duality, amenability and bounded cohomology},

url = {http://eudml.org/doc/277288},

volume = {014},

year = {2012},

}

TY - JOUR

AU - Brodzki, Jacek

AU - Niblo, Graham A.

AU - Wright, Nick J.

TI - Pairings, duality, amenability and bounded cohomology

JO - Journal of the European Mathematical Society

PY - 2012

PB - European Mathematical Society Publishing House

VL - 014

IS - 5

SP - 1513

EP - 1518

AB - We give a new perspective on the homological characterizations of amenability given by Johnson & Ringrose in the context of bounded cohomology and by Block & Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterizations. We apply these ideas to give a new proof of non-vanishing for the bounded cohomology of a free group.

LA - eng

KW - amenability; group cohomology; bounded cohomology; uniformly finite homology; invariant means; amenability; group cohomology; bounded cohomology; uniformly finite homology; invariant means

UR - http://eudml.org/doc/277288

ER -

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