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The Cuntz semigroup and stability of close<i>C</i><sup>โˆ—</sup>-algebras

The Cuntz semigroup and stability of close<i>C</i><sup>โˆ—</sup>-algebras

We prove that separable C*-algebras which are completely close in a natural uniform sense have isomorphic Cuntz semigroups, continuing a line of research developed by Kadison - Kastler, Christensen, and Khoshkam. This result has several applications: we are able to prove that the property of stability is preserved by close โ€ฆ