Sorry to hear your emails are not showing. Microsoft pushed out an update to Outlook 2013 & Office365 on 11/13/2013, that affected many users. Here is a link to the Official Microsoft forum, where they are discussing the problem and solution.
It has been reported by some customers that this will help:
Displaying Folder Hierarchy in Outlook
- Under the "Folder" tab, right of the "Favorites" tab, click "IMAP Folders"
- Outlook should open a dialog box with IMAP folders. There is a checkbox that says, "When displaying hierarchy in outlook, show only the subscribed folders." That should be unchecked, then force a send/receive and it should immediately start downloading the inbox files.
If your problems persist, I recommend reading our full guide on the Outlook 2013 & Office365 issues. It provides additional solutions such as uninstalling the recent updates (KB2837618 or KB2837643), or Changing the root folder path.
It may also be helpful posting/reviewing Microsoft's forum for a solution.
If you have any further questions, feel free to post them below.
Worked for me too, thanks for the help. (using office 365)