1In a medium-sized pot, combine apple juice, dried apricots and cardamom, and bring mixture to a boil.
2Lower heat and let simmer for 15 minutes, or until apricots are tender and juice is syrupy.
3Let cool.
4Using a mixing arm, reduce mixture to a smooth purée. Transfer mixture to a large bowl and cover with plastic wrap. Let stand.
5In a medium-sized bowl, combine yogurt, honey, toasted sesame seeds and half the pistachios.
6Place mixture in an ice cream machine and follow instructions for your machine by choosing “frozen yogurt” option. It should take about 40 minutes before mixture is frozen.
7Transfer contents to a container and place in freezer for at least 3 hours.
8Serve frozen yogurt with apricot purée and remaining pistachios.