We present a new approach to incorporate self-assembled quantum dots into a
Fabry-P\'{e}rot-like microcavity. Thereby a 3λ/4 GaAs layer containing
quantum dots is epitaxially removed and attached by van der Waals bonding to
one of the microcavity mirrors. We reach a finesse as high as 4,100 with this
configuration limited by the reflectivity of the dielectric mirrors and not by
scattering at the semiconductor - mirror interface, demonstrating that the
epitaxial lift-off procedure is a promising procedure for cavity quantum
electrodynamics in the solid state. As a first step in this direction, we
demonstrate a clear cavity-quantum dot interaction in the weak coupling regime
with a Purcell factor in the order of 3. Estimations of the coupling strength
via the Purcell factor suggests that we are close to the strong coupling
regime.Comment: 6 pages, 4 figure