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Noncommutative Kahler-like structures in quantization

Anatol Odzijewicz

math-pharXiv:math-ph/0505061

Abstract

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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