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arxiv: math-ph/0505061 · v2 · submitted 2005-05-23 · 🧮 math-ph · math.MP

Noncommutative Kahler-like structures in quantization

classification 🧮 math-ph math.MP
keywords algebraquantizationalgebrascoherentconnectionconsideredgeometricintroduces
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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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