Inductive algebras for trees

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]. Inductive algebras have also found applications in operator theory (see e.g., [4, 5]).…”

Inductive algebras for the affine group of a finite field

“…The identification of inductive algebras can shed light on the possible realizations of H as a space of sections of a homogeneous vector bundle (see e.g. [7,8,9,10]). For self-adjoint maximal inductive algebras there is a precise result known as Mackey's Imprimitivity Theorem, as explained in the introduction to [7].…”

“…[7,8,9,10]). For self-adjoint maximal inductive algebras there is a precise result known as Mackey's Imprimitivity Theorem, as explained in the introduction to [7]. Inductive algebras have also found applications in operator theory (see e.g.…”

Inductive Algebras for Finite Heisenberg Groups

“…For self-adjoint maximal inductive algebras there is a precise result known as Mackey's Imprimitivity Theorem, as explained in the introduction to [4].…”

“…The identification of inductive algebras can shed light on the possible realizations of H as a space of sections of a homogeneous vector bundle (see, e.g., [4,5,6,7]). For self-adjoint maximal inductive algebras there is a precise result known as Mackey's Imprimitivity Theorem, as explained in the introduction to [4].…”