Inductive algebras for the affine group of a finite field

Inductive algebras for compact groups

“…The identification of inductive algebras can shed light on the possible realizations of $${\mathcal {H}}$$ as a space of sections of a homogeneous vector bundle (see e.g., [8–12]). For self‐adjoint maximal inductive algebras, there is a precise result known as Mackey's imprimitivity theorem, as explained in the introduction to [9].…”