On asymptotic and continuous group Orlicz cohomology Full article
Journal |
Annales de l'Institut Fourier
ISSN: 0373-0956 , E-ISSN: 1777-5310 |
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Output data | Year: 2025, Volume: 75, Number: 5, Pages: 1855-1898 Pages count : 45 DOI: 10.5802/aif.3704 | ||||
Tags | Orlicz cohomology, quasi-isometry invariance, topological group | ||||
Authors |
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Affiliations |
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Funding (2)
1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
2 | Mathematical Center in Akademgorodok | 075-15-2019-1675 |
Abstract:
We generalize some results on asymptotic and continuous group Lp-cohomology to Orlicz cohomology. In particular, we show that asymptotic Orlicz cohomology is a quasi-isometry invariant and that both notions coincide in the case of a locally compact second countable group. The case of degree 1 is studied in more detail.
Résumé. — On généralise quelques résultats sur la cohomologie Lp asymptotique et continue des groupes à la cohomologie d’Orlicz. En particulier, on montre que la cohomologie d’Orlicz asymptotique est invariante sous quasi-isométries et que les deux notions coïncident dans le cas des groupes localement compacts à base dénombrable d’ouverts. Le cas de degré 1 est étudié plus en détail.
Cite:
Kopylov Y.
, Sequeira E.
On asymptotic and continuous group Orlicz cohomology
Annales de l'Institut Fourier. 2025. V.75. N5. P.1855-1898. DOI: 10.5802/aif.3704 WOS Scopus OpenAlex
On asymptotic and continuous group Orlicz cohomology
Annales de l'Institut Fourier. 2025. V.75. N5. P.1855-1898. DOI: 10.5802/aif.3704 WOS Scopus OpenAlex
Dates:
Submitted: | Oct 20, 2022 |
Accepted: | Oct 2, 2023 |
Published print: | Aug 1, 2025 |
Published online: | Aug 1, 2025 |
Identifiers:
Web of science: | WOS:001570254300002 |
Scopus: | 2-s2.0-105015084312 |
OpenAlex: | W4407294195 |
Citing:
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