Mondher Damak & Vladimir Georgescu
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.
Mathematics Subject Classifications: 47L65, 81Q10, 81R15, 81V70, 46L60, 46N50, 47L90.
Key words: C*-cross product, N-body problem, Mourre estimate.
Show me the PDF file (217K), TEX file, and other files for this article.
| Mondher Damak CNRS (ESA 8080) and Department of Mathematics University of Cergy-Pontoise 2, avenue Adolphe Chauvin 95302 Cergy-Pontoise Cedex, France | |
 |
Vladimir Georgescu CNRS (ESA 8080) and Department of Mathematics University of Cergy-Pontoise 2, avenue Adolphe Chauvin 95302 Cergy-Pontoise Cedex, France e-mail: Vladimir.Georgescu@math.pst.u-cergy.fr |