This article constructs isometric actions of discrete groups showing improved decay in cocycles, highlighting crucial applications in geometric group theory and topology.
It is well-known that the study of proper affine isometric actions of countable discrete groups in various spaces plays a crucial role in geometric group theory, operator algebras, and high-dimensional topology. In this article, we shall construct a proper affine isometric action of countable discrete group $Γ$ on the Banach space ⊕ₙ₌₁^∞²ⁿ(Γ) such that the cocycles have decay rates that are better than those of Haagerup and Przybyszewska in.
No takes yet. Share an insight, caveat, or question.
Feng et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: