The bankruptcy of fractional-share operator Avantair triggered a dispute regarding exactly what property its fractional-share owners held. Like other fractional-share operators, Avantair operated a fleet of airplanes, selling fractional shares in each of them to individual participants. Using Fractional Share Contracts consisting of interlocking purchase agreements, dry lease agreements, and fractional use agreements, Avantair controlled, operated, and maintained a fleet of aircraft owned by its participants.