I cannot seem to find where to ID an Illustrator (AI) file's assigned color profile (CS6). I looked in Bridge's Metadata panel, the File Info inside Illustrator, but don't see a color profile anywhere. I can bring up the "assign profile" dialog but it doesn't reveal what the CURRENT color profile is.
At the bottom of the document window where it reads the currenty used tool or the number of back steps, you can also select to show the color profile
You may also take a look at the Document Info panel to get and save that info to a .txt file.