K-theory and C[*]-algebras : a friendly approach
著者
書誌事項
K-theory and C[*]-algebras : a friendly approach
（Oxford science publications）
Oxford University Press, 1993
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K-theory and C*-algebras : a friendly approach
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注記
Bibliography: p. 362-366
Includes index
内容説明・目次
内容説明
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.
目次
- PART I: C*-ALGEBRAS
- PART II: FUNDAMENTALS OF K-THEORY
- PART III: HILBERT MODULES AND A GENERALIZED INDEX THEORY
- PART IV: APPENDICES
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