Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems
Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems
Let X be a product system over a quasi-lattice ordered group. Under mild hypotheses, we associate to X a C*-algebra which is co-universal for injective Nica covariant Toeplitz representations of X which preserve the gauge coaction. Under appropriate amenability criteria, this co-universal C*-algebra coincides with the Cuntz-Nica-Pimsner algebra introduced by …