1) Specific polyurethane prepolymer (PP2) comprising at least two terminal (2-oxo-1,3-dioxolan-4-yl)methyl carbamate groups of low viscosity, its preparation process and its use in the manufacture of an adhesive composition.2) Multicomponent system comprising, as first component (A), a composition comprising at least one such polyurethane prepolymer and, as second component (B), a composition comprising at least one curing agent having at least two primary amine (—NH2) groups (B1).3) Process for assembling materials employing the polyurethane prepolymer (PP2) according to the invention.