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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 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.

Titel: Inner coactions, Fell bundles, and abstract uniqueness theorems
Verfasser: Kaliszewski, S.
Larsen, Nadia S. GND
Quiggin, John C. GND
Organisation: FB 10: Mathematik und Informatik
Dokumenttyp: Artikel
Medientyp: Text
Erscheinungsdatum: 2012
Publikation in MIAMI: 23.10.2012
Datum der letzten Änderung: 07.05.2015
Zeitschrift/Periodikum: Münster Journal of Mathematics / 5 (2012), S. 209 - 232
Fachgebiete: Mathematik
Sprache: Englisch
Format: PDF-Dokument
URN: urn:nbn:de:hbz:6-88399586810