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arXiv · 2209.12861

On Asymptotic and Continuous Group Orlicz Cohomology

Yaroslav Kopylov·Emiliano Sequeira
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Abstract

We generalize some results on asymptotic and continuous group $L^p$-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.

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Yaroslav Kopylov, Emiliano Sequeira. 2023-10-11. On Asymptotic and Continuous Group Orlicz Cohomology. https://arxiv.org/abs/2209.12861

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