Reduce: Combine lime zest, ginger, lemon juice, cinnamon and cardamom in a small bowl; set aside. Combine lime juice, sugar and salt in a small, heavy, nonreactive saucepan over high heat.  Simmer until syrupy and honey-colored, about 15 minutes–mixture should be reduced to ¼ cup.  Remove pan from heat and add ginger mixture. Steep for 2 minutes and strain.

Assemble: Combine fruit in a medium bowl and pour warm strained dressing over fruit; toss to coat. Sprinkle chopped crystallized ginger over fruit. Serve immediately at room temperature or cover and refrigerate up to 4 hours. Serve chilled.

Serving Option: For an elegant brunch option, serve individual portions spooned over Greek yogurt in parfait glasses.