L1-cohomology of normal algebraic surfaces. I.
V. Pati, W.C. Hsiang (1985)
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V. Pati, W.C. Hsiang (1985)
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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.
Ib Madsen (1982/83)
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