Greenlees-Shipley and Pol and the author have given an algebraic model for rational (co)free equivariant spectra. We give a model categorical argument showing that the induction-restriction-coinduction functors between categories of (co)free rational equivariant spectra correspond to functors between the algebraic models in the case of connected compact Lie groups.
Homotopy theory of modules over diagrams of rings
An algebraic model for rational U(2)-spectra
Rational $G$-spectra for profinite $G$
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