  We implement individual addressing and readout of ions in a rigidly rotating
planar crystal in a compact, permanent magnet Penning trap. The crystal of
$^{40}$Ca$^+$ is trapped and stabilized without defects via a rotating
triangular potential. The trapped ion fluorescence is detected in the rotating
frame for parallel readout. The qubit is encoded in the metastable D$_{5/2}$
manifold enabling the use of high-power near-infrared laser systems for qubit
operations. Addressed $\sigma_z$ operations are realized with a focused AC
Stark shifting laser beam. We demonstrate addressing of ions near the center of
the crystal and at large radii. Simulations show that the current addressing
operation fidelity is limited to $\sim 97\%$ by the ion's thermal extent for
the in-plane modes near the Doppler limit, but this could be improved to
infidelities $<10^{-3}$ with sub-Doppler cooling. The techniques demonstrated
in this paper complete the set of operations for quantum simulation with the
platform.
