Cinema 4D lights a scene from an HDRI either through a Sky object's material or through a Redshift Dome Light, depending on the renderer in use. The panoramas below work with both setups, from lighting-only resolutions to 20000x10000 for a visible sky.
















































Try before you buy: the free HDRI samples need no account and carry the same licence as the paid files, so you can check the setup above with a real file before buying.
A 4096x2048 to 8192x4096 file is enough when the HDRI only lights the scene, since both the Sky object and the Redshift Dome Light resample the texture for GI. Use 16000x8000 or the 20000x10000 files when the sky is directly visible behind the model or in glossy reflections.
An unclipped sun disc keeps the sun's true brightness in the file instead of clamping it to white, so the Physical renderer or Redshift can trace a sharp shadow straight from the HDRI. 34 of the outdoor HDRIs on HDRI Hub are unclipped, and none of them need an extra sun light added to the scene.
Use a Sky object with a Luminance-only material for the Standard and Physical renderers, and the Dome Light's Texture field for Redshift. Both read the same .exr or .hdr file.
For the Physical and Standard renderers, Global Illumination must be enabled in Render Settings, and the material must use the Luminance channel, not only Color.
Rotate the Sky object or the Dome Light object on its Heading axis. Neither has a separate rotation field for the texture.
Yes. Add a second Sky object and use Compositing tags to make one visible to the camera only and the other to GI and reflections only.
More background: which HDRI resolution you need and .hdr or .exr.