On asymptotic and continuous group Orlicz cohomology

We generalize some results on asymptotic and continuous group -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 is studied...

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Detalles Bibliográficos
Autores: Kopylov, Yaroslav, Sequeira Manzino, Emiliano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:Uruguay
Institución:Universidad de la República
Repositorio:COLIBRI
Idioma:inglés
OAI Identifier:oai:colibri.udelar.edu.uy:20.500.12008/55223
Acceso en línea:https://hdl.handle.net/20.500.12008/55223
Access Level:acceso abierto
Palabra clave:ORLICZ COHOMOLOGY
QUASI-ISOMETRY INVARIANCE
TOPOLOGICAL GROUP
Descripción
Sumario:We generalize some results on asymptotic and continuous group -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 is studied in more detail.