An Introduction to K-Theory for C*-Algebras (London Mathematical Society Student Texts)
Edition: 1st edition
Publisher: Cambridge University Press
Published: January 15, 2000
Language: eng
Format: Hardcover
Number of pages: 242
ISBN-13: 9780521783347
Subjects: Linear algebra; Probability & statistics; General; Algebraic Topology; Functional Analysis; Mathematics; Science/Mathematics; Geometry - Algebraic; Algebra - Linear; Mathematics / Differential Equations; C*-algebras; K-theory
First sentence: This chapter contains some basic facts about C*-algebras that the reader is assumed to be (or become) familiar with.
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."--Pub. desc.