Description
This book is an accessible introduction to the basics of K-theory, which is a complicated mathematical theory. The book starts by explaining the basics of C*-algebra, and then goes on to explain K-theory. It then follows a careful construction and analysis of the operator K-theory groups, and proves the results of K-theory. Of particular interest to algebraists and geometrists, the book aims to give full instruction, without leaving any details out. Additionally, the book covers important advanced C*-algebraic constructions like tensor products, multiplier algebras, and Hilbert modules.
K-theory is often considered a complicated mathematical theory for specialists only. This book is an accessible introduction to the basics and provides detailed explanations of the various concepts required for a deeper understanding of the subject. Some familiarity with basic C*algebra theory is assumed. The book then follows a careful construction and analysis of the operator K-theory groups and proof of the results of K-theory, including Bott periodicity. Of specific interest to algebraists and geometrists, the book aims to give full instruction. No details are left out in the presentation and many instructive and generously hinted exercises are provided. Apart from K-theory, this book offers complete and self contained expositions of important advanced C*-algebraic constructions like tensor products, multiplier algebras and Hilbert modules.
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