Strong Shift Equivalence of $C^*$-correspondences
Operator Algebras
2007-05-23 v2 Functional Analysis
Abstract
We define a notion of strong shift equivalence for -correspondences and show that strong shift equivalent -correspondences have strongly Morita equivalent Cuntz-Pimsner algebras. Our analysis extends the fact that strong shift equivalent square matrices with non-negative integer entries give stably isomorphic Cuntz-Krieger algebras.
Keywords
Cite
@article{arxiv.math/0508059,
title = {Strong Shift Equivalence of $C^*$-correspondences},
author = {Paul Muhly and David Pask and Mark Tomforde},
journal= {arXiv preprint arXiv:math/0508059},
year = {2007}
}
Comments
26 pages. Final version to appear in Israel Journal of Mathematics