Cuntz Semigroups of Compact-Type Hopf C*-Algebras
AbstractThe 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. We show that in many cases, isomorphisms of Cuntz semigroups that respect this additional structure can be lifted to Hopf algebra (bi)isomorphisms, up to a possible flip of the co-product. This shows that the Cuntz semigroup provides an interesting invariant of C*-algebraic quantum groups. View Full-Text
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Kučerovský, D. Cuntz Semigroups of Compact-Type Hopf C*-Algebras. Axioms 2017, 6, 1.
Kučerovský D. Cuntz Semigroups of Compact-Type Hopf C*-Algebras. Axioms. 2017; 6(1):1.Chicago/Turabian Style
Kučerovský, Dan. 2017. "Cuntz Semigroups of Compact-Type Hopf C*-Algebras." Axioms 6, no. 1: 1.
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