After numerous updates to Windows 10 on the fast track, I realised there were a half-dozen folders that seemed to be rubbish yet I could not delete.
I ended up renaming them as DELETEME95-99 and thought a reboot or maybe a CHKDSK/F would see them gone.
But no. Still saying they don't exist but they are cannot be deleted using Explorer. I assume it was the strange folder with trailing dots on "LocalState.." causing this.
Launched CMD as Administrator and did the following to rid me of the 'LocalState..' folder.
rd /s "\\?\C:\DELETEME99\Users\lukeb\AppData\Local\Packages\Microsoft.Windows.Cortana_cw5n1h2txyewy"
yes, the folders will now delete.