As soon as you give the user admin priveleges the program will run. I've tried turning off UAC, still broke, I've tried running adobe reader in compatibility mode, still broke, I've tried running adobe as administrator settings still broke. I've tried changing access on adobe folders to give users full control, still broke. Giving a user administrator priveleges is NOT an acceptable solution. Further having to mess around with Dep and Windows Security features is NOT an option. If Adobe wants to play with the big boys and try to consider it's product an "industry standard" they have to write it correctly.
I am not the only one having this issue there are posts all over the internet including the below samples IN the adobe forums.
However I did find an installation script for Adobe 9 on Citrix
here Though I have not tested this so I do not know if it works.