According to King Plastic Corporation, you cannot use standard adhesives to glue any of their StarBoard® line of engineered plastics.
Instead, they recommend mechanical fastening with stainless steel fasteners. However, if an adhesive is necessary, King Plastic Corporation maintains that they have had success using (but do not represent, make claims, or accept liability for the use of) 3M Scotch-Weld DP-8005 and a product from the LORD company called #7542-AB.