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This is Part IV of a thematic series currently consisting of a monograph andfour essays. This essay examines the form of induced representations of locallyp-adic Lie groups G which is appropriate for the abelian category of ${\mathcalM}_{c}(G)$-admissible representations. In my non-expert manner, I prove theanalogue of Jacquet's Theorem in this category. The final section consists ofobservations and questions related to this and other concepts introduced in thecourse of this series.

Derived Langlands IV:Notes on ${\mathcal M}_{c}(G)$-induced representations