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  3. K-Theory for Operator Algebras
  • Cited by 21
Publisher:
Cambridge University Press
Online publication date:
June 2025
Print publication year:
1998
Online ISBN:
9781009701907
DOI:
https://doi.org/10.1017/9781009701907
Subjects:
Mathematics, Abstract Analysis, Real and Complex Analysis, Geometry and Topology
Series:
Mathematical Sciences Research Institute Publications
Information

Book description

K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non-specialists, and specialists learn the subject. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed. This first paperback printing has been revised and expanded and contains an updated reference list.

Reviews

‘The book is well written, with a great number of examples, exercises and problems that help one to understand the theory …’.

Source: European Maths Society Journal

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