Reduction of quantum systems and the local Gauss law
arXiv:1705.05259 · doi:10.1007/s11005-018-1092-x
Abstract
We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated to 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 in [5, 6].
6 pages