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Bibliographic Metadata
- TitleInner coactions, Fell bundles, and abstract uniqueness theorems
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- Is part ofMünster Journal of Mathematics, Issue Münster Journal of Mathematics, page 209-232
- Published
- LanguageEnglish
- Document typeJournal Article
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Abstract
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.