Quantization and Morita equivalence for constant Dirac structures on tori
量子代数
2016-09-07 v1 算子代数
辛几何
摘要
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.
引用
@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}
}
备注
9 pages