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Cuntz Semigroups of Compact-Type Hopf C*-Algebras

Cuntz Semigroups of Compact-Type Hopf C*-Algebras

The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism. We consider C*-algebras that have Hopf algebra structure, and find additional structure in their Cuntz semigroups, thus generalizing the equivariant Cuntz semigroup. We …