Diana, Francesca and Loeh, Clara (2017) The l(infinity)-semi-norm on uniformly finite homology. FORUM MATHEMATICUM, 29 (6). pp. 1325-1336. ISSN 0933-7741, 1435-5337
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Uniformly finite homology is a coarse homology theory, defined via chains that satisfy a uniform boundedness condition. By construction, uniformly finite homology carries a canonical l(infinity)-semi-norm. We show that, for uniformly discrete spaces of bounded geometry, this semi-norm on uniformly finite homology in degree 0 with Z-coefficients allows for a new formulation of Whyte's rigidity result. In contrast, we prove that this semi-norm is trivial on uniformly finite homology with R-coefficients in higher degrees.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | AMENABLE-GROUPS; AMENABILITY; Uniformly finite homology; semi-norms on homology; rigidity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:19 |
| Last Modified: | 19 Feb 2019 14:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1954 |
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