Mondher DAMAK, Vladimir GEORGESCU C*-algebras related to the N-body problem and the self-adjoint operators affiliated to them (559K, Postscript) ABSTRACT. We point out a class of ``many-channel hamiltonians'' naturally associated to vector space structures and we study their spectral properties (essential spectrum and Mourre estimate). The N-body dispersive regular systems as well as perturbed multi-stratified media are covered by our formalism.