The 2006 book 'Daemon' is a fascinating/terrifying look at this type of malicious AI. Basically, a rogue AI starts taking over humanity not through any real genius (in fact, the book's AI is significantly weaker than frontier LLMs), but rather leveraging a huge amount of $$$ as bootstrapping capital and then carrot-and-sticking humanity into submission.

A pretty simple inner loop of flywheeling the leverage of blackmail, money, and violence is all it will take. This is essentially what organized crime already does already in failed states, but with AI there's no real retaliation that society at large can take once things go sufficiently wrong.