Strong Shift Equivalence of C^*-correspondences

2005/08/02 by Muhly, Paul, Pask, David, Tomforde, Mark
#46L08 #46L55 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.math/0508059

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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