Passing C*-correspondence relations to the Cuntz–Pimsner algebras
We construct a functor that maps C*-correspondences to their Cuntz–Pimsner algebras. Applications include a generalization of the well-known result of Muhly and Solel: Morita equivalent C*-correspondences have Morita equivalent Cuntz–Pimsner algebras; as well as the result of Muhly, Pask, and Tomfor...
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| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2022 |
| Publikation in MIAMI: | 12.01.2023 |
| Datum der letzten Änderung: | 12.01.2023 |
| Quelle: | Münster Journal of Mathematics, 15 (2022), S. 441-471 |
| Verlag/Hrsg.: |
Mathematisches Institut (Universität Münster)
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| Angaben zur Ausgabe: | [Electronic ed.] |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-21089689042 |
| Weitere Identifikatoren: | DOI: 10.17879/21089688716 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-21089689042 |
| Onlinezugriff: | mjm_2022_15_441-471.pdf |
We construct a functor that maps C*-correspondences to their Cuntz–Pimsner algebras. Applications include a generalization of the well-known result of Muhly and Solel: Morita equivalent C*-correspondences have Morita equivalent Cuntz–Pimsner algebras; as well as the result of Muhly, Pask, and Tomforde: regular strong shift equivalent C*-correspondences have Morita equivalent Cuntz–Pimsner algebras.