I think what you're seeing is the light on the background object itself.
It appears that you've replaced the background node's default Background shader with a Default shader. Assigning the starmap image to the Default shader's Colour function is basically applying a texture to the background sphere's diffuse surface, so it renders visibly.
You might try setting the Default shader's Base colour parameter to 0 or black and disconnecting the starmap image from the Colour function. Although, with the Base colour value at 0 the diffuse surface will still be black, as the three parameters (Base colour, Colour image, and Colour function) are multiplied together to determine the final surface value.
With the starmap assigned to the Luminosity function and the Luminosity value at 1.0, the starmap should show up in the background but not the light reflected from the surface of the background object.