- Hardcover: 382 pages
- Publisher: OUP Oxford (11 Mar 1993)
- Language English
- ISBN-10: 0198596944
- ISBN-13: 978-0198596943
- Product Dimensions: 23.6 x 16.2 x 3 cm
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Amazon Bestsellers Rank:
3,514,988 in Books (See Top 100 in Books)
- #27 in Books > Scientific, Technical & Medical > Mathematics > Geometry > Algebraic Topology
- See Complete Table of Contents
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Review
"Should be of great value and benefit to graduate students and anyone starting to learn K-theory. It is a comprehensive source for many references and could easily be used to teach a course. The reviewer enjoyed reading the book and highly recommends it to all K-theory lovers." --Mathematical Reviews
Product Description
K-theory is often considered a complicated `specialist's' theory. This book is an introduction to the basics and provides detailed explanation of the various concepts required for a deeper understanding of the subject. Some familiarity with basic C*algebra theory is assumed and 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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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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2 reviews
6 of 6 people found the following review helpful
Great introduction to the subjects!
21 Nov 1998
Format:Hardcover
This book is a rarity in mathematics - a technical book on a difficult subject that remains entirely readable, even to non-specialists. Rather than the usual 300 pages of dense text and inscrutable proofs, the author gives examples, straightforward proofs, and a writing style that borders on the (gasp!) conversational. Highly recommended, especially for non-mathematicians needing to learn K-theory. :)
4 of 4 people found the following review helpful
Great for beginners in the subject
1 May 1999
Format:Hardcover
This book is wonderful for beginners in K-theory of operator algebras because it also covers some fundamentals from other subjects that are needed. The proofs are always very clear. The best of it are the excercises! Very many details of K-theory and its applications become clear when you do the excercises.
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