Blank, Matthias and Diana, Francesca (2015) Uniformly finite homology and amenable groups. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 15 (1). pp. 467-492. ISSN 1472-2739,
Full text not available from this repository. (Request a copy)Abstract
Uniformly finite homology is a coarse invariant for metric spaces; in particular, it is a quasi-isometry invariant for finitely generated groups. In this article, we study uniformly finite homology of finitely generated amenable groups and prove that it is infinite-dimensional in many cases. The main idea is to use different transfer maps to distinguish between classes in uniformly finite homology. Furthermore we show that there are infinitely many classes in degree zero that cannot be detected by means.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BILIPSCHITZ EQUIVALENCE; MACROSCOPIC DIMENSION; ESSENTIAL MANIFOLDS; INVARIANT-MEANS; AMENABILITY; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Jul 2019 09:17 |
| Last Modified: | 31 Jul 2019 09:17 |
| URI: | https://pred.uni-regensburg.de/id/eprint/6259 |
Actions (login required)
 |
View Item |
