Fell bundles over groupoids have a universal property for their full section C*-algebras implying functoriality, exactness, and generalized Renault theorems.
A higher category approach to twisted actions on c* -algebras , volume=
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The relative Cuntz-Pimsner algebra of a groupoid correspondence is the groupoid C*-algebra of a new groupoid with an explicit description and universal property for actions on topological spaces.
KSGNS construction is functorial on positive C*-correspondences via automorphism-aware intertwiners and induces unique unitary equivariant dilations for dynamical systems.
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A universal property for groupoid C*-algebras. II. Fell bundles
Fell bundles over groupoids have a universal property for their full section C*-algebras implying functoriality, exactness, and generalized Renault theorems.
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Groupoid models for relative Cuntz-Pimsner algebras of groupoid correspondences
The relative Cuntz-Pimsner algebra of a groupoid correspondence is the groupoid C*-algebra of a new groupoid with an explicit description and universal property for actions on topological spaces.
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Functoriality of the KSGNS Construction for Intertwiners of Strict Positive $C^*$-Correspondences
KSGNS construction is functorial on positive C*-correspondences via automorphism-aware intertwiners and induces unique unitary equivariant dilations for dynamical systems.