Strong Morita equivalence of higher-dimensional noncommutative tori
Operator Algebras
2007-05-23 v2 Quantum Algebra
Abstract
We show that matrices in the same orbit of the SO(n, n|Z) action on the space of n\times n skew-symmetric matrices give strong Morita equivalent noncommutative tori, both at the C*-algebra level and at the smooth algebra level. This proves a conjecture of Rieffel and Schwarz.
Keywords
Cite
@article{arxiv.math/0303123,
title = {Strong Morita equivalence of higher-dimensional noncommutative tori},
author = {Hanfeng Li},
journal= {arXiv preprint arXiv:math/0303123},
year = {2007}
}
Comments
12 pages, minor improvements. To appear in J. Reine Angew. Math