To keep everything under 100C (or 50C), your radiator surface area is in the same ballpark as your solar panel surface area. No laws of thermodynamics need to be broken. But you do need very low launch costs.

Edit: https://en.wikipedia.org/wiki/Planetary_equilibrium_temperat... A blackbody sphere near Earth's orbit balances out to almost exactly 0C. A sphere has about 4x as much radiating surface as capturing surface. A flat surface facing the sun that would have 2x, front and back.