Yes, the US does not need to have presided over the marriage in order for a US divorce to be effective; basically for the court to have jurisdiction, it only requires one party to have residency in the state at issue (Alaska presumably) and for the other party to either be served notice in accordance with the laws of their locale, or to consent to US's jurisdiction by singing a waiver of service or an acceptance of jurisdiction.
The US courts main consideration is that both parties are properly awrae of the proceedings and have an opportunity, if desired, to participate; so long as those due process concerns are addressed the courts will exercise jurisdiction.
Similarly the US does give comity (acknowledgment) to foreign decrees if the above principles apply.
This website will provide forms needed to start the process:
Here is the waiver form:
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Information provided is for educational purposes only. Consultation with a personal attorney is always recommended so your particular facts may be considered. Thank you and take care.