2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72173We study the centraliser of locally compact group extensions of ergodic probability preserving transformations. New methods establishing ergodicity of group extensions are introduced, and new examples of squashable and non-coalescent group extensions are constructed. Smooth versions of some of the constructions are also given.Original uncut version of "A cut salad of cocycles", Fund. Math. 157, (1998) 99-119Dynamical Systems28D05text