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An Introduction to K-Theory for C*-Algebras: 49
Author(s): M. Rørdam (Author), F. Larsen (Author), N. Laustsen (Author)
- Publisher: Cambridge University Press
- Publication Date: 20 July 2000
- Language: English
- Print length: 256 pages
- ISBN-10: 9780521783347
- ISBN-13: 0521783348
Book Description
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.
Editorial Reviews
Review
‘The textbook is a nice introduction to the subject preparing the ground for the study of more advanced texts.’ H. Schröder, Zentralblatt für Mathematik
Book Description
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
