  We show how to construct correlators for the $CFT_1$ which is dual to
non-commutative $AdS_2$ ($ncAdS_2$). We do it explicitly for the example of the
massless scalar field on Euclidean $ncAdS_2$. $ncAdS_2$ is the quantization of
$AdS_2$ that preserves all the isometries. It is described in terms of the
unitary irreducible representations, more specifically discrete series
representations, of $so(2,1)$. We write down symmetric differential
representations for the discrete series, and then map them to functions on the
Moyal-Weyl plane. The Moyal-Weyl plane has a large distance limit which can be
identified with the boundary of $ncAdS_2$. Killing vectors can be constructed
on $ncAdS_2$ which reduce to the $AdS_2$ Killing vectors near the boundary. We
therefore conclude that $ncAdS_2$ is asymptotically $AdS_2$, and so the
$AdS/CFT$ correspondence should apply. For the example of the massless scalar
field on Euclidean $ncAdS_2$, the on-shell action, and resulting two-point
function for the boundary theory, are computed to leading order in the
noncommutativity parameter. The results agree with those of the commutative
scalar field theory, up to a field redefinition.
