2 cups apple juice (or cider), plus
1/2 cup apple juice (or cider)
4 large golden delicious or granny smith apples, with (or without) peel, cut 1/2 inch wedges
3 tablespoons cornstarch
1 teaspoon apple pie spice (or cinnamon and allspice)
4 tablespoons sugar (or more to taste)

In a medium skillet, combine the 2 cups apple juice and sliced apples.  Simmer gently until apples are fork tender but not mushy, turning apples frequently.  Remove apples from juice using a slotted spoon and place in an oven safe dish.  In a blender, combine the remaining 1/2 cup apple juice, cornstarch, apple pie spice and sugar.  Blend a few seconds until smooth.  Whisk mixture into hot apple juice in skillet and cook, stirring constantly on medium high heat until it bubbles and becomes thickened and smooth.  Pour thickened mixture over apples and serve.