  Gauge invariant local observables describing primordial scalar quantum
fluctuations in Inflationary Cosmology are identified as elements of a type
$II$ de Sitter crossed product algebra. This algebra is defined, after adding a
reference frame clock, as the algebra of clock dressed local operators. Clock
dressing sets, in the weak gravity limit, the Schrodinger equation for gauge
invariant quantum fluctuations. Instead of using a slow roll inflaton potential
to define the clock Hamiltonian and the clock state we suggest a natural double
de Sitter clock making the whole algebra associated with the planar patch a
type $II$ factor. The corresponding clock states are EPR squeezed states. Using
this clock to define the needed clock dressing leads to concrete model
independent predictions of the inflationary parameters. Some speculative
remarks on potential ways to define a type $I$ upgrading are briefly discussed.
