TY  - JOUR
AB  - 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.
AU  - Kaliszewski, S.
AU  - Larsen, Nadia S.
AU  - Quiggin, John C.
AU  - Quiggin, John
AU  - Quiggin, J.
AU  - Quiggan, John
DA  - 2012
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 209
PY  - 2012
SP  - 209-232
T2  - Münster Journal of Mathematics
TI  - Inner coactions, Fell bundles, and abstract uniqueness theorems
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-88399586810
Y2  - 2024-11-22T08:50:34
ER  -