No immunity from other criminal prosecutions while in this state.

AS 12.70.260, under Uniform Criminal Extradition Act..

AS 12.70.260

After a person has been brought back to this state through extradition proceedings, or after waiver of extradition proceedings by that person, that person may be tried in this state for other crimes which the person may be charged with having committed here as well as that specified in the requisition for extradition.