Strong Shift Equivalence of $C^*$-correspondences

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126022We 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 MathematicsOperator AlgebrasFunctional Analysis46L55; 46L08Strong Shift Equivalence of $C^*$-correspondencestext