An equivariant PPV theorem and Paschke-Higson duality

Abstract

We prove an equivariant localized and norm-controlled version of the Pimsner-Popa-Voiculescu theorem. As an application, we deduce a proof of the Paschke-Higson duality for transformation groupoids.

28 pages - Made some corrections in the new version (January 2022) - Further corrections in new version (March 2022) - Minor changes in the introduction (April 2022). To appear in the Annals of K-theory

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• Index, eta and rho-invariants on foliated bundles
• Equivariant coarse homotopy theory and coarse algebraic $\mathbf{K}$-homology
• Proof of the magnetic gap-labelling conjecture for principal solenoidal tori
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Cited by in corpus (1)

• Paschke duality and assembly maps