Noncommutative Kahler-like structures in quantization

Physics – Mathematical Physics

Scientific paper

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pages 29

Scientific paper

One introduces the notion of C*-algebra with polarization which could be
considered as the quantum Kahler structure. The connection of these algebras
with Kostant-Souriou geometric quantization is shown. The theory of polarized
C*-algebra is investigated by the use of the coherent states method.

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