arXiv math/98030571998-03math.QAhep-thmath.OA

Morita equivalence of multidimensional noncommutative tori

Marc Rieffel, Albert Schwarz

备注：: 13 pages. Minor comment corrected. (To appear in the International Journal of Mathematics.)
发表信息：: Int.J.Math. 10 (1999) 289-299

英文摘要：

One can describe an $n$-dimensional noncommutative torus by means of an antisymmetric $n\times n$-matrix $θ$. We construct an action of the group $SO(n,n|\bf Z)$ on the space of antisymmetric matrices and show that, generically, matrices belonging to the same orbit of this group give Morita equivalent tori. Some applications to physics are sketched.

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