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On asymptotic and continuous group Orlicz cohomology Full article

Journal Annales de l'Institut Fourier
ISSN: 0373-0956 , E-ISSN: 1777-5310
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 Kopylov Yaroslav 1 , Sequeira Emiliano 2
Affiliations
1 Sobolev Institute of Mathematics
2 Centro de Matemática, FCIEN-Universidad de la República, 4225 Igua, Montevideo 11400 (Uruguay)

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
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: Пока нет цитирований
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