Journal article, Peer reviewed
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Original versionPacific Journal of Mathematics. 2016, 284 (1), 147-190. 10.2140/pjm.2016.284.147
A certain type of functor on a category of coactions of a locally compact group on C ∗ C∗-algebras is introduced and studied. These functors are intended to help in the study of the crossed-product functors that have been recently introduced in relation to the Baum–Connes conjecture. The most important coaction functors are the ones induced by large ideals of the Fourier–Stieltjes algebra. It is left as an open problem whether the “minimal exact and Morita compatible crossed-product functor” is induced by a large ideal.