Fell bundles over groupoids have a universal property for their full section C*-algebras implying functoriality, exactness, and generalized Renault theorems.
Muhly and Dana P
2 Pith papers cite this work. Polarity classification is still indexing.
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Reduced cross-sectional algebra of an approximation-property Fell bundle over an inverse semigroup is exact iff its unit fiber is exact.
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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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Exactness and Fell bundles with the approximation property over inverse semigroups
Reduced cross-sectional algebra of an approximation-property Fell bundle over an inverse semigroup is exact iff its unit fiber is exact.