In the plumbing industry, solvent-based PVC cements are used. However, if you need a solvent-free system, cyanoacrylates and reactive acrylics have been widely used on rigid PVC. In fact, the building industry has in recent years been using reactive acrylics for the bonding of trim pieces in house construction.
Be careful if bonding plasticized flexible PVC, however. Successful bonds can often deteriorate over time due to attack by the plasticizer. Polyurethane adhesives have shown success in bonding plasticized PVC.