G-regging an N-reg in the US?

[AdamFrisch]

Hi.

I'm a bit unsure about how this works.

Let's say I buy a N-reg Cessna that I intend to keep in the US. Can I put it on the G register without it ever having been in the UK? How would one go about doing that?

Also, how would maintenance, C of A and stuff like that work for an aircraft that lives abroad?

I've also heard some rumor that there's a time limit to how long a foreign registered aircraft can operate in the US - is this true?