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