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Part of the book series: Advanced Courses in Mathematics - CRM Barcelona ((ACMBIRK))

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Abstract

The C*-algebra of compact operators K(H) and the C*-algebra C(X) with X contractible both have the same K-theory as the complex numbers, that is, K0(C) = Z and K1(C) = 0.

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Strung, K.R. (2021). The Jiang–Su algebra. 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_15

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