K-Theory for Operator Algebras
K-Theory for Operator Algebras
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DOI：
10.1007/978-1-4613-9572-0
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发表时间：
1986-09
期刊：
影响因子：
--
通讯作者：
B. Blackadar
中科院分区：
文献类型：
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作者：
B. Blackadar
K-理论帮助将算子代数理论从泛函分析的一个简单分支转变为一个在整个数学中具有广泛适用性的学科，特别是在几何和拓扑学中，许多不同背景的数学家必须学习该理论的基本部分。这本书是唯一的全面处理K-理论的算子代数，并打算帮助学生，非专家，和专家学习的主题。这第一次平装印刷已修订和扩大，并包含一个更新的参考清单。这本书发展K-理论，理论的扩展，和卡斯帕罗夫的bivariant KK-理论的C*-代数。专题包括AF代数理论、公理化K-理论、通用系数定理和E-理论。虽然这本书在技术上是完整的，动机和直觉是强调。许多例子和应用进行了讨论。
K-theory has helped convert the theory of operator algebras from a simple branch of functional analysis to a subject with broad applicability throughout mathematics, especially in geometry and topology, and many mathematicians of diverse backgrounds must learn the essential parts of the theory. This book is the only comprehensive treatment of K-theory for operator algebras, and is intended to help students, non specialists, and specialists learn the subject. This first paperback printing has been revised and expanded and contains an updated reference list. This book develops K-theory, the theory of extensions, and Kasparov's bivariant KK-theory for C*-algebras. Special topics covered include the theory of AF algebras, axiomatic K-theory, the Universal Coefficient Theorem, and E-theory. Although the book is technically complete, motivation and intuition are emphasized. Many examples and applications are discussed.