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An Introduction to K-Theory for C*-Algebras

An Introduction to K-Theory for C*-Algebras

$53.95

Part of London Mathematical Society Student Texts

  • Date Published: July 2000
  • availability: Available
  • format: Paperback
  • isbn: 9780521789448

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About the Authors
  • Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

    • Based on courses given in Copenhagen and Leeds
    • Authors are authorities on this subject
    • Provides a more streamlined introduction to the subject than any of the competition
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    Reviews & endorsements

    'The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.' H. Schröder, Zentralblatt für Mathematik

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    Product details

    • Date Published: July 2000
    • format: Paperback
    • isbn: 9780521789448
    • length: 256 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.38kg
    • contains: 124 exercises
    • availability: Available
  • Table of Contents

    Preface
    1. C*-algebra theory
    2. Projections and unitary elements
    3. The K0-group of a unital C*-algebra
    4. The functor K0
    5. The ordered Abelian group K0(A)
    6. Inductive limit C*-algebras
    7. Classification of AF-algebras
    8. The functor K1
    9. The index map
    10. The higher K-functors
    11. Bott periodicity
    12. The six-term exact sequence
    13. Inductive limits of dimension drop algebras
    References
    Table of K-groups
    Index of symbols
    General index.

  • Resources for

    An Introduction to K-Theory for C*-Algebras

    M. Rørdam, F. Larsen, N. Laustsen

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  • Authors

    M. Rørdam, University of Copenhagen

    F. Larsen, Odense Universitet, Denmark

    N. Laustsen, University of Leeds

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