The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of $K$-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. <P>This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C*-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses. Topics include AF algebras, Bunce-Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group C*-algebras, discrete crossed products, abelian C*-algebras (spectral theory and approximate unitary equivalence) and extensions. It also introduces many modern concepts and results in the subject such as real rank zero algebras, topological stable rank, quasidiagonality, and various new constructions. <P>These notes were compiled during the author's participation in the special year on C*-algebras at The Fields Institute for Research in Mathematical Sciences during the 1994-1995 academic year. The field of C*-algebras touches upon many other areas of mathematics such as group representations, dynamical systems, physics, $K$-theory, and topology.
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用大量的例子来讨论c*代数，前两章给出算子代数的基本理论，三四两章给出AF代数的分类方法，并解释用基本的K理论来分类AF代数。五六七八章给出重要的C*代数的例子及其结构的研究方法，最后一章是精髓。不过前两章内容过于简略，导致初学这本书十分困难。还是先看conway的两本书吧。
评分用大量的例子来讨论c*代数，前两章给出算子代数的基本理论，三四两章给出AF代数的分类方法，并解释用基本的K理论来分类AF代数。五六七八章给出重要的C*代数的例子及其结构的研究方法，最后一章是精髓。不过前两章内容过于简略，导致初学这本书十分困难。还是先看conway的两本书吧。
评分用大量的例子来讨论c*代数，前两章给出算子代数的基本理论，三四两章给出AF代数的分类方法，并解释用基本的K理论来分类AF代数。五六七八章给出重要的C*代数的例子及其结构的研究方法，最后一章是精髓。不过前两章内容过于简略，导致初学这本书十分困难。还是先看conway的两本书吧。
评分用大量的例子来讨论c*代数，前两章给出算子代数的基本理论，三四两章给出AF代数的分类方法，并解释用基本的K理论来分类AF代数。五六七八章给出重要的C*代数的例子及其结构的研究方法，最后一章是精髓。不过前两章内容过于简略，导致初学这本书十分困难。还是先看conway的两本书吧。
评分用大量的例子来讨论c*代数，前两章给出算子代数的基本理论，三四两章给出AF代数的分类方法，并解释用基本的K理论来分类AF代数。五六七八章给出重要的C*代数的例子及其结构的研究方法，最后一章是精髓。不过前两章内容过于简略，导致初学这本书十分困难。还是先看conway的两本书吧。
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