99-481 Mondher DAMAK, Vladimir GEORGESCU
C*-Crossed Products and a Generalized Quantum Mechanical N-Body Problem (306K, Postscript) Dec 21, 99
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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 $\goth C^X$.

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