Will I have access to my Creative Cloud files on another account and on a different computer?

In that case, just download and save the files and upload them again when you have your own account.

Creative Cloud is just a Name. If you don't want to use the online storage option that Adobe allows you don't have to.

No programs are in the Clouds. All Adobe programs need to downloaded and installed on each computer they are run on. The only thing the internet, Cloud, is used for is to verify, validate and activate your license to use the programs you have a subscription for.

QUOTE:

If the files are owned outright by you then make a copy of them and take that home and copy them over to your personal computer.

You can Access them with the File manager for the OS on your personal, to copy or make sure they are all there.

But to actually work with them you will need whatever program was used to create them. There are some exceptions like MS Word Doc's can be read by other word processors and there are many programs that can read and display PDF file.

As for Proprietary Adobe files, like PSD files for Photoshop and the like you will need Adobe programs.

"My question is not regarding ownership of files but the technical nature of Creative Cloud. I would appreciate a helpful reply to my question and not a lecture that fails to address my concern."

I'm not lecturing anybody.  I am telling you how Creative Cloud works.  Ownership matters.   Adobe must protect their client's interests as well as their own.  Creative Cloud files are "owned" by whoever took out the agreement with Adobe.   If you want to retain access to certain CC assets on your employer's account, you need to get the files onto flash drives now while you still can.   CC access will end when you leave your current job.  I can't explain it any simpler than that.

There is no technical magic. You need to download everything, and save it somewhere. 

Nancy,

My employer allowed me to use the account to create my own freelancing files and is fine for me to keep and use them. This has already been arranged. My question is not regarding ownership of files but the technical nature of Creative Cloud. I would appreciate a helpful reply to my question and not a lecture that fails to address my concern.

Who pays for your Creative Cloud plan -- you or your employer?

If your employer pays for the plan, they own the cloud files.   If you pay for the plan, you own the files.   When a plan is cancelled, cloud access is also cancelled. 

Actually that's not my question. I am referring to files that are not owned by the company but by me.

Nancy is correct. You need to talk to the employer and ask if you can have a copy of them.

To actually access them, if the company allows you to have a copy of them, you will need to subscription plan to download and install Adobe programs.