Derivations, semidirect products and reduced cyclic cohomology.
Pairings, duality, amenability and bounded cohomology
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.
Complex structure on the smooth dual of .
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