If you look at that thread posted above you will discover that in fact the answer is NO. There is no Linux version of Adobe Digital Editions - there is an OLD Windows version that you can run in Linux using WINE. Adobe Digital Editions sucks. DRM sucks.
From June UK residents will have a legal right to make copies of ebooks for personal use, and 'format shift' these if they so choose, hopefully this will encourage publishers to abandon this hopeless crippled and crippling technology - the analogy I like to use is to imagine if you could only read a paperback if you were wearing a particular pair of glasses.