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K1—Theory and Bott Periodicity

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K-Theory for Operator Algebras

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 5))

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Abstract

In this chapter, we will define the higher K-groups of a Banach algebra and relate them to suspensions in section 8, and then prove the Bott Periodicity Theorem and establish the fundamental K-theory exact sequence in section 9.

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© 1986 Springer-Verlag New York Inc.

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Blackadar, B. (1986). K1—Theory and Bott Periodicity. In: K-Theory for Operator Algebras. Mathematical Sciences Research Institute Publications, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9572-0_4

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  • DOI: https://doi.org/10.1007/978-1-4613-9572-0_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9574-4

  • Online ISBN: 978-1-4613-9572-0

  • eBook Packages: Springer Book Archive

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