Strong Morita equivalence of higher-dimensional noncommutative tori. II
Operator Algebras
2007-05-23 v2 K-Theory and Homology
Quantum Algebra
Abstract
We show that two C*-algebraic noncommutative tori are strongly Morita equivalent if and only if they have isomorphic ordered K_0-groups and centers, extending N. C. Phillips's result in the case that the algebras are simple. This is also generalized to the twisted group C*-algebras of arbitrary finitely generated abelian groups.
Keywords
Cite
@article{arxiv.math/0501030,
title = {Strong Morita equivalence of higher-dimensional noncommutative tori. II},
author = {George A. Elliott and Hanfeng Li},
journal= {arXiv preprint arXiv:math/0501030},
year = {2007}
}
Comments
24 pages. One reference is added