Have you restarted? Is anything else having issues? What triggered it?
Yes, I wiped my Mac back to factory settings and then re-installed
Thansk a lot mate!!! This fixed my problem!!
So, a factory reset fixed everything? Or that was the beginning of all the problems? Sorry, there have been some confusing posts here, not sure where we are.
The factory reset was the beginning of the problem
(Now I read carefully, someone else posted "Thansk a lot mate!!! This fixed my problem!!". I wonder why!)
Something's very wrong. One thing we can try is to go to your first message, "Could not create ~/Library/Application Support/Adobe/CoreSync." See if you can create a folder by that name. If you can't you might see messages pointing the right way.
Is the Adobe software the first serious software to be installed after the factory reset?
Yeah, I agree with others here, it sounds like there may be some kind of permissions issue if the user account you're using is unable to create that directory. You may want try reinstalling the Creative Cloud app if you continue to face difficulties.
Please see this article for an explanation of the process
Please post back if you continue to face difficulties.
So I followed the uninstall process and then reinstalled, same problem nothing has changed