Diana, Francesca and Nowak, Piotr W. (2017) Eilenberg swindles and higher large scale homology of products of trees. GROUPS GEOMETRY AND DYNAMICS, 11 (1). pp. 371-392. ISSN 1661-7207, 1661-7215
Full text not available from this repository. (Request a copy)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 also show a characterization of amenability in terms of 1-homology and construct aperiodic tilings using higher homology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LARGE RIEMANNIAN-MANIFOLDS; BILIPSCHITZ EQUIVALENCE; GROWTH; Uniformly finite homology; coarse homology; cohomology of groups; products of trees |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 12:57 |
| Last Modified: | 26 Feb 2019 10:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/38 |
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