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).
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182777 | PMC |
| http://dx.doi.org/10.1007/s11005-018-1092-x | DOI Listing |
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