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Strong shift equivalence of |
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| Authors: | Paul S. Muhly David Pask Mark Tomforde |
| Affiliation: | (1) Department of Mathematics, University of Iowa, Iowa City, IA 52242-1419, USA;(2) David A Pask School of Mathematics and Applied Statistics, The University of Wollongong, Northfields Avenue, Wollongong, NSW, 2522, Australia;(3) Mark Tomforde, Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA |
| 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. The first author was supported by NSF Grant DMS-0355443. The third author was supported by NSF Postdoctoral Fellowship DMS-0201960. |
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