Quantization and Morita equivalence for constant Dirac structures on tori

Mathematics – Quantum Algebra

Scientific paper

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9 pages

Scientific paper

We define a C*-algebraic quantization of constant Dirac structures on tori,
which extends the standard quantization of Poisson structures. We prove that
Dirac structures in the same orbit of a natural action of O(n,n|Z) give rise to
Morita equivalent algebras, completing and extending a theorem of Rieffel and
Schwarz.

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