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Titlebook: An Introduction to C*-Algebras and the Classification Program; Karen R. Strung,Francesc Perera Textbook 2021 The Editor(s) (if applicable)

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Martin Meyer,Harro Aurin,Horst Rummelfänger13.3.11 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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https://doi.org/10.1007/978-3-030-47465-2c*-algebra; GNS construction; classification; K-Theory; Elliott classification program
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978-3-030-47464-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Banach algebras and spectral theory, Initially working at the level of generality of Banach algebras will furthermore help the reader to later appreciate, by comparison, the manner in which C*-algebras enjoy many structural properties that are absent in the more general setting of Banach algebras.
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Nuclear dimension,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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