Abstract
Theorem 7.2.2 says that C*-algebras with the completely positive approximation property (c.p.a.p.) are exactly those C*-algebras that are nuclear. In 13.3.11 we saw that we need to restrict our target for classification to nuclear C*-algebras, since otherwise when passing to the less complicated setting of von Neumann algebras there is already little hope for any reasonable classification theorem.
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Strung, K.R. (2021). Nuclear dimension. In: Perera, F. (eds) An Introduction to C*-Algebras and the Classification Program. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-47465-2_17
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DOI: https://doi.org/10.1007/978-3-030-47465-2_17
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