Quantization and Morita equivalence for constant Dirac structures on tori
Quantum Algebra
2016-09-07 v1 Operator Algebras
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0305413,
title = {Quantization and Morita equivalence for constant Dirac structures on tori},
author = {Xiang Tang and Alan Weinstein},
journal= {arXiv preprint arXiv:math/0305413},
year = {2016}
}
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9 pages