If a foreign citizen commits a crime in the U.S., does the U.S. not have the ability to prosecute him just because he's not a U.S. citizen (= "registered as a company in the U.S.")?

> If a foreign citizen commits a crime in the U.S., does the U.S. not have the ability to prosecute him just because he's not a U.S. citizen

If a foreign citizen commits a crime in a foreign country, the US can still prosecute him (and can even have him forcibly abducted outside of the existing extradition treaty of his country, violating the laws of that country, to bring him to court without reducing its ability to prosecute him.)

To that effect, many countries can prosecute a foreign citizen committing a crime in a foreign country. For example, genocide.