Strong Shift Equivalence of $C^*$-correspondences

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We define a notion of strong shift equivalence for $C^*$-correspondences and show that strong shift equivalent $C^*$-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.
26 pages. Final version to appear in Israel Journal of Mathematics

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Operator Algebras, Functional Analysis, 46L55; 46L08

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http://salesiana.dossiersoluciones.com/handle/123456789/126022

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508059
 http://arxiv.org/abs/math/0508059

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arXiv