  Hybrid samples combining superconductors with magnetic topological insulators
are a promising platform for exploring exotic new transport physics. We examine
a Josephson junction of such a system, based on the dilute magnetic topological
insulator (Hg,Mn)Te and the type II superconductor MoRe. In the zero and very
low field limit, to the best of our knowledge, the device shows, for the first
time, induced supercurrent through a magnetically doped semiconductor, in this
case a topological insulator. At higher fields, a rich and hysteretic
magnetoresistance is revealed. Careful analysis shows that the explanation of
this behaviour can be found in magnetic flux focusing stemming from the
Meissner effect in the superconductor, without invoking any role of proximity
induced superconductivity. The phenomena is important, as it will ubiquitously
co-exist with any exotic new physics that may be present in this class of
devices.
