[d1zzy]

Yes, but terminating your GC status is much more easier than relinquishing your citizenship. After all, the visa is designed for that (to be something that you hold on to while in the US and give up when not maintaining permanent residency status anymore).

[btowngar]

For sure - my comment was just referring to the often mistaken belief that a GC holder doesn't need to pay tax on income earned outside of the US.