Cuntz Semigroups of Compact-Type Hopf C*-Algebras
نویسندگان
چکیده
منابع مشابه
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. We show that in many cases, isomorphisms of Cuntz semigroups that respect this additional structure can be ...
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Let H be a full Hilbert bimodule over a C-algebra A. We show that the Cuntz–Pimsner algebra associated to H is exact if and only if A is exact. Using this result, we give alternative proofs for exactness of reduced amalgemated free products of exact C– algebras. In the case that A is a finite–dimensional C–algebra, we also show that the Brown–Voiculescu topological entropy of Bogljubov automorp...
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By using C∗-correspondences and Cuntz-Pimsner algebras, we associate to every subshift (also called a shift space) X a C∗-algebra OX, which is a generalization of the Cuntz-Krieger algebras. We show that OX is the universal C ∗-algebra generated by partial isometries satisfying relations given by X. We also show thatOX is a one-sided conjugacy invariant of X.
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ژورنال
عنوان ژورنال: Axioms
سال: 2017
ISSN: 2075-1680
DOI: 10.3390/axioms6010001