Covariance systems
Mathematical Physics
2009-10-31 v1 math.MP
Operator Algebras
Abstract
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.
Cite
@article{arxiv.math-ph/0009031,
title = {Covariance systems},
author = {Jan Naudts and Maciej Kuna},
journal= {arXiv preprint arXiv:math-ph/0009031},
year = {2009}
}
Comments
latex with ams-latex, 23 pages