Pairings, duality, amenability and bounded cohomology
Pairings, duality, amenability and bounded cohomology
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DOI：
10.4171/jems/338
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发表时间：
2010-03
影响因子：
2.6
通讯作者：
J. Brodzki;Graham A. Niblo;N. Wright
中科院分区：
文献类型：
--
作者：
J. Brodzki;Graham A. Niblo;N. Wright
我们对 Johnson 和 Ringrose 在有界上同调背景下以及 Block 和 Weinberger 在一致有限同调背景下给出的顺应性同调特征给出了新的视角。我们研究他们的理论之间的相互作用并解释这些特征之间的关系。我们应用这些想法来给出自由群有界上同调的不消失的新证明。
We give a new perspective on the homological characterisations of amenability given by Johnson and Ringrose in the context of bounded cohomology and by Block and Weinberger in the context of uniformly finite homology. We examine the interaction between their theories and explain the relationship between these characterisations. We apply these ideas to give a new proof of non- vanishing for the bounded cohomology of a free group.