Jan Naudts and Maciej Kuna 2001 J. Phys. A: Math. Gen. 34 9265 doi:10.1088/0305-4470/34/43/311
Covariance systems
Jan Naudts and Maciej Kuna1
Show affiliationsWe introduce new definitions of states and representations of covariance systems. The GNS-construction is generalized in this context. It associates a representation with each state of the covariance system. Next, the states are extended to the states of an appropriate covariance algebra. Two applications are given. We describe a non-relativistic quantum particle and give a simple description of the quantum spacetime model introduced by Doplicher et al (Doplicher et al 1994 Phys. Lett. B 331 39, Doplicher et al 1995 Commun. Math. Phys. 172 187).
- PACS
- MSC
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81T70 Quantization in field theory; cohomological methods (See also 58D29)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 43 (2 November 2001)
Received 19 June 2001
Published 19 October 2001
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Covariance systems
Jan Naudts and Maciej Kuna 2001 J. Phys. A: Math. Gen. 34 9265
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