An Equivariant Coarse Green-Julg Theorem for Proper Actions
Year: 2026
Type: preprint
Abstract: We prove an equivariant coarse Green--Julg theorem for proper isometric actions of countable discrete groups on bounded geometry metric spaces. We introduce the $(Γ, X)$-controlled proper $C^{*}$-algebra, and show that the evaluation-at-zero map between the equivariant localization and Roe algebras with such coefficients induces an isomorphism on $K$-theory.
Source: arXiv (Cornell University)
Authors: Wang, Qin, Zhang, Chen
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225831247
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