Thank you for your response.
But, as I said AxCrypt does note have any indication that there are files left to be encrypted, including the broom icon is not present, and the actual application, that runs that specific file, is not running either.
The file will be left in on of the %USERPROFILE%\AppData\Local\AxCrypt\ sub-directories even after I reboot the laptop.
It does not happen every time and I cannot tell you when/why it happens. But it does happen.