desktop-laptop-desktop mail moving

I've been using my laptop for KMail for the last several months, based on a 
copy taken from my desktop. Now I'd like to move back to using my desktop.

Is it as simple as moving my ~/Mail back over? What do I have to do with 
Akonadi?

The laptop is kde-pim 4.11.5 on Fedora 19. The desktop is 4.10.5 on Fedora 
18.

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