Measurable bounded cohomology of $t$-discrete measured groupoids via resolutions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912299056365568 |
|---|---|
| author | Sarti, Filippo Savini, Alessio |
| author_facet | Sarti, Filippo Savini, Alessio |
| contents | We define bounded cohomology of $t$-discrete measured groupoids with coefficients into measurable bundles of Banach spaces. Our approach via homological algebra extends the classic theory developed by Ivanov and by Monod. As a consequence, we show that the bounded cohomology of a $t$-discrete groupoid $\mathcal{G}$ can be computed using any amenable $\mathcal{G}$-space. In particular, we can compute bounded cohomology using strong boundaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measurable bounded cohomology of $t$-discrete measured groupoids via resolutions Sarti, Filippo Savini, Alessio Algebraic Topology Dynamical Systems Functional Analysis We define bounded cohomology of $t$-discrete measured groupoids with coefficients into measurable bundles of Banach spaces. Our approach via homological algebra extends the classic theory developed by Ivanov and by Monod. As a consequence, we show that the bounded cohomology of a $t$-discrete groupoid $\mathcal{G}$ can be computed using any amenable $\mathcal{G}$-space. In particular, we can compute bounded cohomology using strong boundaries. |
| title | Measurable bounded cohomology of $t$-discrete measured groupoids via resolutions |
| topic | Algebraic Topology Dynamical Systems Functional Analysis |
| url | https://arxiv.org/abs/2503.22350 |