Strong Shift Equivalence of $C^*$-correspondences

Details Strong Shift Equivalence of $C^*$-correspondences Strong Shift Equivalence of $C^*$-correspondences

2005-08-02

arxiv.org/abs/math/0508059v2

Mathematics

Operator Algebras

26 pages. Final version to appear in Israel Journal of Mathematics

Scientific paper

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.

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