  Shipley and the author have given an algebraic model for free rational
G-spectra for a compact Lie group G. In the present note we describe, at the
level of homotopy categories, the algebraic models for induction, restriction
and coinduction relating free rational G-spectra and free rational H-spectra
for a subgroup H of G. The justification for giving this short and elementary
account is (1) the author found it difficult to guess the correct answer, (2)
the answer depends on which Quillen equivalence is used between topology and
algebra and (3) this has provided useful insight in several other projects
(including arXiv:1501.03425).
