 99481 Mondher DAMAK, Vladimir GEORGESCU
 C*Crossed Products and a Generalized
Quantum Mechanical NBody 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 selfadjoint operators
affiliated to $\goth C^X$.
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