Mondher DAMAK, Vladimir GEORGESCU
C*-Crossed Products and a Generalized 
Quantum Mechanical N-Body Problem
(306K, Postscript)

ABSTRACT.  For each finite dimensional real vector space $X$ we construct a 
$C^*$-algebra $\goth C^X$ graded by the lattice of all subspaces 
of $X$ and we compute its quotient with respect to the algebra of 
compact operators. This allows one to describe the essential spectrum 
and to prove the Mourre estimate for the self-adjoint operators 
affiliated to $\goth C^X$.