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Strong Shift Equivalence of $C^*$-correspondences

Paul Muhly·David Pask·Mark Tomforde
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Abstract

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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Paul Muhly, David Pask, Mark Tomforde. 2007-03-21. Strong Shift Equivalence of $C^*$-correspondences. https://arxiv.org/abs/math/0508059

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