For glaze, in a medium saucepan stir together apricot nectar, apricots, honey, soy sauce, ginger, garlic, cinnamon, and red pepper. Bring to boiling; reduce heat. Simmer, uncovered, about 20 minutes or until mixture is thickened and reduced by about half, stirring occasionally. Remove 1/4 cup of the glaze for basting; set aside the remaining glaze until ready to serve.
Meanwhile, thaw fish, if frozen. Rinse fish; pat dry. Place fish on the greased, unheated rack of a broiler pan, tucking under any thin edges.
Broil about 4 inches from the heat for 8 to 12 minutes or until fish flakes easily with a fork, gently turning once and brushing occasionally with the 1/4 cup glaze for the last 4 minutes of broiling. Serve the fish with the remaining glaze. Makes 4 servings.