Hi Christina, back on your case . .
By "set to" I assume you mean "saved with an ICC profile embedded in the file" (that checkbox in the 'save as' pop up tells you how you're saving it). However, your question reads like in your mind you're associating Adobe RGB with the application (PhotoShop) . . as if Adobe RGB is the 'correct' color space for PhotoShop, in other words. I want to be sure you understand that a good post-processing application will open a file in any color space you want it to and will save it in any other color space you need, depending of course where the output file will be used or displayed. For example, RawTherapee is good in that regard. FastStone Viewer, on the other hand, happily strips the profile out of any file you edit - leaving any application that opens your Viewer-crafted file free to do whatever it likes. Had you saved a ProPhoto file out of FastStone Viewer, I assure you it could look pretty bland in, e.g., Internet Explorer 6.
Before anyone tells me how bad those apps are, I'm just using them as examples
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