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Eilenberg swindles and higher large scale homology of products of trees

Diana, Francesca ; Nowak, Piotr



Abstract

We show that uniformly finite homology of products of n trees vanishes in all degrees except degree n, where it is in finite dimensional. Our method is geometric and applies to several large scale homology theories, including almost equivariant homology and controlled coarse homology. As an applicationwe determine group homology with l(infinity)-co-efficients of lattices in products of trees. We ...

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