In a food processor, puree the papaya until smooth. Using a rubber spatula, remove and place in a small container. Refrigerate for 1 hour. In a blender, add half of the puree, half of the tequila, 1/4 cup lime juice and fill with crushed ice. Blend the mixture on high until thick and slushy. Pour into a pitcher. Repeat with the remaining ingredients. Place the rim of the glass in the 2 tablespoons of lime juice and then in the salt. Pour into the glasses and garnish with a piece of star fruit on the rim.
Recipe courtesy of Emeril Lagasse