A unitary Cuntz semigroup for C?-algebras of stable rank one
نویسندگان
چکیده
We introduce a new invariant for C?-algebras of stable rank one that merges the Cuntz semigroup information together with K1-group information. This semigroup, termed Cu1-semigroup, is constructed as equivalence classes pairs consisting positive element in stabilization given C?-algebra unitary unitization hereditary subalgebra generated by element. show Cu1-semigroup well-defined continuous functor from category to suitable codomain we write Cu?. Furthermore, compute some specific C?-algebras. Finally, course our investigation, can recover functorially Cu, K1 and K?:=K0?K1 Cu1.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109175