  We consider the set of forms of a toric variety over an arbitrary field:
those varieties which become isomorphic to a toric variety after base field
extension. In contrast to most previous work, we also consider arbitrary
isomorphisms rather than just those that respect a torus action. We define an
injective map from the set of forms of a toric variety to a non-abelian second
cohomology set, which generalizes the usual Brauer class of a Severi-Brauer
variety. Additionally, we define a map from the set of forms of a toric variety
to the set of forms of a separable algebra along similar lines to a
construction of A. Merkurjev and I. Panin. This generalizes both a result of
M.~Blunk for del Pezzo surfaces of degree 6, and the standard bijection between
Severi-Brauer varieties and central simple algebras
