  We consider time-ordered (or Feynman) propagators between two different
$\alpha-$states of a linear de Sitter Quantum Field in the global de Sitter
manifold and in the Poincar\'e patch. We separately examine $\alpha-\beta$,
In-In and In-Out propagators and find the imaginary contribution to the
effective actions. The In-In propagators are real in both the Poincar\'e patch
and in the global de Sitter manifold. On the other side the In-Out propagators
at coincident points contain finite imaginary contributions in both patches in
even dimensions, but they are not equivalent. In odd dimensions in both patches
the imaginary contributions are zero. For completeness, we also consider the
Static patch and identify in our construction the state that is equivalent to
the Bunch-Davies one in the Poincar\'e patch.
