A Remark on the Deformation of GNS Representations of *-Algebras
Waldmann, Stefan
arXiv, 0012071 / Harvested from arXiv
Text on arXiv
Motivated by deformation quantization we investigate the algebraic GNS construction of *-representations of deformed *-algebras over ordered rings and compute their classical limit. The question if a GNS representation can be deformed leads to the deformation of positive linear functionals. Various physical examples from deformation quantization like the Bargmann-Fock and the Schr{\"o}dinger representation as well as KMS functionals are discussed.
Publié le : 2000-12-11
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics,  Mathematics - Symplectic Geometry 
@article{0012071,
     author = {Waldmann, Stefan},
     title = {A Remark on the Deformation of GNS Representations of *-Algebras},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0012071}
}

Waldmann, Stefan. A Remark on the Deformation of GNS Representations of *-Algebras. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0012071/