Inner coactions, Fell bundles, and abstract uniqueness theorems
We prove gauge-invariant uniqueness theorems with respect to maximal and normal coactions for C*-algebras associated to product systems of C*-correspondences. Our techniques of proof are developed in the abstract context of Fell bundles. We employ inner coactions to prove an essential-inner uniquene...
| Verfasser: | |
|---|---|
| FB/Einrichtung: | FB 10: Mathematik und Informatik |
| Dokumenttypen: | Artikel |
| Medientypen: | Text |
| Erscheinungsdatum: | 2012 |
| Publikation in MIAMI: | 23.10.2012 |
| Datum der letzten Änderung: | 17.02.2023 |
| Quelle: | Münster Journal of Mathematics, 5 (2012), S. 209-232 |
| Angaben zur Ausgabe: | [Electronic ed.] |
| Fachgebiet (DDC): | 510: Mathematik |
| Lizenz: | InC 1.0 |
| Sprache: | English |
| Format: | PDF-Dokument |
| URN: | urn:nbn:de:hbz:6-88399586810 |
| Permalink: | https://nbn-resolving.de/urn:nbn:de:hbz:6-88399586810 |
| Onlinezugriff: | mjm_vol_5_11.pdf |
We prove gauge-invariant uniqueness theorems with respect to maximal and normal coactions for C*-algebras associated to product systems of C*-correspondences. Our techniques of proof are developed in the abstract context of Fell bundles. We employ inner coactions to prove an essential-inner uniqueness theorem for Fell bundles. As application, we characterize injectivity of homomorphisms on Nica’s Toeplitz algebra T(G, P) of a quasi-lattice ordered group (G, P) in the presence of a finite nontrivial set of lower bounds for all nontrivial elements in P.