Electronic Journal of Differential Equations,
Conference 04 (2000), pp. 51-69.

Title: C*-cross products and a generalized quantum mechanical N-body problem

Authors: Mondher Damak (Univ. of Cergy-Pontoise, France)
     Vladimir Georgescu (Univ. of Cergy-Pontoise, France)
 
Abstract: 
For each finite dimensional real vector space  X we construct a 
C*-algebra  A 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  A.

Published July 12, 2000.
Math Subject Classifications: 47L65, 81Q10, 81R15, 81V70, 46L60, 46N50, 47L90. 
Key Words:  C*-cross product; N-body problem; Mourre estimate.