Inner coactions, Fell bundles, and abstract uniqueness theorems

Titelaufnahme

Titel
Inner coactions, Fell bundles, and abstract uniqueness theorems
Verfasser
Kaliszewski, S. ; Larsen, Nadia S. ; Quiggin, John C. ; Quiggin, John ; Quiggin, J. ; Quiggan, John
Enthalten in
Münster Journal of Mathematics, H. Münster Journal of Mathematics, S. 209-232
Erschienen
2012
Sprache
Englisch
Dokumenttyp
Aufsatz in einer Zeitschrift
URN
urn:nbn:de:hbz:6-88399586810

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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.