Morita equivalence of multidimensional noncommutative tori
Open Access Publications from the University of California

## Published Web Location

https://arxiv.org/pdf/math/9803057.pdf
No data is associated with this publication.
Abstract

One can describe an $n$-dimensional noncommutative torus by means of an antisymmetric $n\times n$-matrix $\theta$. 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.

Item not freely available? Link broken?
Report a problem accessing this item