Started the campagne. After about 10 minutes the game crashes. Hopefully won't again...
EDIT: Also can't start the game. Process was still running. Killing it did help.

Lowering the graphic settings seem to help though my RX 580 should be able to handle higher settings easily.

I suggest you give a try to ./play.it, its Battle Worlds: Kronos support has been updated recently to work around crashes on systems using non-US locales.

[./play.it] Install Battle Worlds: Kronos on Linux