We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated with the elements of the Lie algebra of a Lie group that implements the symmetries of a quantum system. We use this interpretation to establish a link between Rieffel induction and the implementation of a local Gauss law in lattice gauge theories similar to the method discussed by Kijowski and Rudolph (J Math Phys 43:1796–1808, 2002; J Math Phys 46:032303, 2004).
CITATION STYLE
Stienstra, R., & van Suijlekom, W. D. (2018). Reduction of quantum systems and the local Gauss law. Letters in Mathematical Physics, 108(11), 2515–2522. https://doi.org/10.1007/s11005-018-1092-x
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