Covariance systems
Naudts, Jan ; Kuna, Maciej
arXiv, 0009031 / Harvested from arXiv
Text on arXiv
We introduce new definitions of states and of representations of covariance systems. The GNS-construction is generalized to this context. It associates a representation with each state of the covariance system. Next, states are extended to states of an appropriate covariance algebra. Two applications are given. We describe a nonrelativistic quantum particle, and we give a simple description of the quantum spacetime model introduced by Doplicher et al.
Publié le : 2000-09-20
Classification:  Mathematical Physics,  Mathematics - Operator Algebras,  22d25,  46L60,  81R15,  81T05 
@article{0009031,
     author = {Naudts, Jan and Kuna, Maciej},
     title = {Covariance systems},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0009031}
}

Naudts, Jan; Kuna, Maciej. Covariance systems. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0009031/