Blank, Matthias (2016) Relative bounded cohomology for groupoids. GEOMETRIAE DEDICATA, 184 (1). pp. 27-66. ISSN 0046-5755, 1572-9168
Full text not available from this repository. (Request a copy)Abstract
We introduce bounded cohomology for (pairs of) groupoids and develop homological algebra to deal with it. We generalise results of Ivanov, Frigerio and Pagliantini to this setting and show that (under topological conditions) the bounded cohomology of a pair of topological spaces is isometrically isomorphic to the bounded cohomology of the pair of fundamental groupoids. Furthermore, we prove that bounded cohomology relative to an amenable groupoid is isometrically isomorphic to the bounded cohomology of the ambient groupoid.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HYPERBOLIC GROUPS; Bounded cohomology; Groupoids; Amenable groups; Mapping theorems; Relative bounded cohomology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Apr 2019 12:37 |
| Last Modified: | 26 Apr 2019 12:37 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4235 |
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