A refinement of bounded cohomology
Group Theory
2025-12-23 v3 Metric Geometry
Abstract
We introduce a refinement of bounded cohomology and prove that the suitable comparison homomorphisms vanish for an amenable group. We investigate in this context Thompson's group F and provide further evidence towards its amenability. We provide a source of nontrivial 1-bounded classes and show that the space of 1-bounded classes in degree 2 is huge.
Keywords
Cite
@article{arxiv.2208.03168,
title = {A refinement of bounded cohomology},
author = {Światosław R. Gal and Jarek Kędra},
journal= {arXiv preprint arXiv:2208.03168},
year = {2025}
}
Comments
8 pages