There is no matter.

It's cold there because there isn't anything there.

So there is nothing to conduct or convect the heat away.

It's like a giant vacuum insulated thermos.

Is putting data centers in thermos' a good idea?

i am not saying its a good idea, just wondering because you say space has no temperature, but that makes no sense for the reason CMB radiation would prevent you from having 0 k right? and in fact how would you even measure it? wouldn't the measuring device its self have way more then 0K?

plus you would have to insulate the servers from the sun...then have radiators like the ISS... i think its just way easier to run a server on the ground