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The smallestC*-algebra for canonical commutations relations |
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| Authors: | J. Manuceau M. Sirugue D. Testard A. Verbeure |
| Affiliation: | (1) Centre de Physique Théorique, C.N.R.S., Marseille, France;(2) Université de Provence, F-13274 Marseille, France;(3) Centre Universitaire d'Avignon, Avignon, France;(4) Dept. Natuurkunde, Instituut voor Theoretische Natuurkunde, Celestijnenlaan 200 D, B-3030 Heverlee, (Leuven), Belgium |
| Abstract: | We consider theC*-algebras which contain the Weyl operators when the symplectic form which defines the C.C.R. is possibly degenerate. We prove that the C.C.R. are all obtained as a quotient of a universalC*-algebra by some of its ideals, and we characterize all these ideals. |
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