Morita equivalence of smooth noncommutative tori
Operator Algebras
2009-09-29 v4 Quantum Algebra
Abstract
We show that in the generic case the smooth noncommutative tori associated to two n by n real skew-symmetric matrices are Morita equivalent if and only if the matrices are in the same orbit of the natural SO(n, n| Z) action.
Cite
@article{arxiv.math/0311502,
title = {Morita equivalence of smooth noncommutative tori},
author = {George A. Elliott and Hanfeng Li},
journal= {arXiv preprint arXiv:math/0311502},
year = {2009}
}
Comments
27 pages. Final version. To appear in Acta Math