California's state's exchange board last week opted to name its state-run exchange "Covered California" In addition, a number of health plans are already on board to join the California state health exchange next fall. Peter Lee, Covered California's executive director, said 33 insurers and organizations have indicated interest in participating in the exchange, including Kaiser Permanente; Anthem Blue Cross, Blue Shield of California; and Health Net Inc. Exchange officials will decide in June what insurers will have a place on the exchange.