  We report the direct observation of switching of the N\'eel vector of
antiferromagnetic (AFM) domains in response to electrical pulses in
micron-scale Pt/$\alpha$-Fe$_2$O$_3$ Hall bars using photoemission electron
microscopy. Current pulses lead to reversible and repeatable switching, with
the current direction determining the final state, consistent with Hall effect
experiments that probe only the spatially averaged response. Current pulses
also produce irreversible changes in domain structure, in and even outside the
current path. In both cases only a fraction of the domains switch in response
to pulses. Further, analysis of images taken with different x-ray polarizations
shows that the AFM N\'eel order has an out-of-plane component in equilibrium
that is important to consider in analyzing the switching data. These results
show that -in addition to effects associated with spin-orbit torques from the
Pt layer, which can produce reversible switching-changes in AFM order can be
induced by purely thermal effects.
