On Asymptotic and Continuous Group Orlicz Cohomology

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.

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