Quantization and Morita equivalence for constant Dirac structures on tori

被引：5

作者：

Tang, X ^{[1
]}

Weinstein, A ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 05期

关键词：

Dirac structure; Poisson structure; Morita equivalence; quantization;

D O I：

10.5802/aif.2059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a C*-algebraic quantization of constant Dirac structures on tori and prove that 0(n,n\Z)-equivalent structures have Morita equivalent quantizations. This completes and extends from the Poisson case a theorem of Rieffel and Schwarz.

引用

页码：1565 / +

页数：17

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