Today the way we diffuse temperature is via the air itself, and without air to carry heat away from components we don’t really have very much to work with.
I know space is cold, but diffusing the cold onto the warm is an ongoing problem as far as I understood it.
Which is why for example of nuclear submarines would not bode well in space, the internal temperature would just continue to rise until eventually the thing will become an oven floating through the solar system.
The ISS ammonia-based active heat rejection system is Two units, each 13x3 metres in size and each unit can radiate 35kW.
So to radiate a "mere" 1MW, you need a quarter-acre of radiator. A square km per GW.
The engineering is obviously more than tricky because you have lots of plumbing, gigantic flat structures, and you can't have the radiators facing each other or the sun. Moreover, unlike the ISS, if you want to run the system at full whack the whole time on solar power, it's never in shadow. Which you presumably do want, as that's the putative point of the whole thing. You also can't be sending up service missions without the cost exploding even further, so hopefully you can design everything to last the 5 years despite each handful of fully loaded GPU racks requiring a structure somewhere around the size of the ISS, humankind's crowning glory of high technology, to support.
Obviously there are some unanswered questions but there is clearly a path forward.