Abstract
The purpose of this lecture is to show how certain modular structures, borrowed from the theory of von Neumann algebras, can be exploited to extract primary representations (prequantization) and irreducible representations (quantization) from the regular representation of the symmetry group of the physical systems to be considered. The emphasis is on presenting specific examples for which the solution is exhibited explicitly.
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Emch, G.G. (1995). Modular Structures in Geometric Quantization. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization, Coherent States, and Complex Structures. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1060-8_4
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