Covariance systems

Details Covariance systems Covariance systems

2000-09-20

arxiv.org/abs/math-ph/0009031v1

J. Phys. A34, 9265-9280 (2001)

Physics

Mathematical Physics

latex with ams-latex, 23 pages

Scientific paper

10.1088/0305-4470/34/43/311

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.

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