An algebraic introduction to K-theory

✍ Scribed by Magurn, B.

• Publisher: Cambridge University Press
• Year: 2002
• Tongue: English
• Leaves: 688
• Series: Encyclopedia of mathematics and its applications 87
• Category: Library

✦ Synopsis

This book is an introduction to K-theory and a text in algebra. These two roles are
entirely compatible. On the one hand, nothing more than the basic algebra of groups,
rings, and modules is needed to explain the classical algebraic K-theory. On the other
hand, K-theory is a natural organizing principle for the standard topics of a second
course in algebra, and these topics are presented carefully here, with plenty of
exercises at the end of each short section. The reader will not only learn algebraic
K-theory, but also Dedekind domains, classic groups, semisimple rings, character
theory, quadratic forms, tensor products, localization, completion, tensor algebras,
symmetric algebras, central simple algebras, and Brauer groups.