Probable solution for Asus Mobo/GPU users. Armoury Crate errors affect how the game works.
Additionally, turning off the Aura in the bios helped in this case.
More info about crash should be in: C:\Users\{your_user}\AppData\Local\Activision\Call Of Duty Black Ops Cold War\crash_reports (dxdiag_crash.txt - section: "Windows Error Reporting" )