本書是Springer經典數學教材繫列之一。該繫列包含已出版的400多本教材，許多已經被奉為經典並該科目的標準參考書。該書對von Neumann代數理論給出了全面而詳細的介紹。幾乎包含該科目的所有基本結果。對於初學著和專家來說本書都是一本**難得的參考書。
讀者對像：數學專業的研究生和相關專業的科研人員。

1.General Theory
1.1.Definitions of C*-Algebras and W*-Algebras
1.2.Commutative C*-Algebras
1.3.Stonean Spaces
1.4.Positive Elements of a C*-Algebra
1.5.Positive Linear Functionais on a C*-Algebra
1.6.Extreme Points in the Unit Sphere of a C*-Algebra
1.7.The Weak Topology on a W*-Algebra
1.8.Various Topologies on a W*-Algebra
1.9.Kaplansky's Density Theorem
1.10.Ideals in a W*-Algebra
1.11.Spectral Resolution ofSelf-Adjoint Elements in a W*-Algebra
1.12.The Polar Decomposition of Elements of a W*-Algebra
1.13.Linear Functionals on a W*-Algebra
1.14.Polar Decomposition of Linear Functionals on a W*-Algebra
1.15.Concrete C*-Algebras and W*-Algebras
1.16.The Representation Theorems for C*-Algebras and W*- Algebras
1.17.The Second Dual of a O-Algebra
1.18.Commutative W*-Algebras
1.19.The C*-Algebra C of all Compact Linear Operators on a Hilbert Space
1.20.The Commutation Theorem of yon Neumann
1.21.*-Representations of C*-Algebras，1
1.22.Tensor Products of C*-Algebras and W*-Algebras
1.23.The Inductive Limit and Infinite Tensor Product of C*-Algebras
1.24.Radon-Nikodym Theorems in W*-Algebras
2.Classification of W*-Algebras
2.1.Equivalence of Projections and the Comparability Theorem
2.2.Classification of W*-Algebras
2.3.Type I W*-Algebras
2.4.Finite W*-Algebras
2.5.Traces and Criterions of Types
2.6.Types of Tensor Products of W*-Algebras
2.7.*-Representations of C*-Algebras and W*-Algebras，2
2.8.The Commutation Theorem of Tensor Products
2.9.Spatial Isomorphisms of W*-Algebras
3.Decomposition Theory
3.1.Decompositions of States (Non-Separable Cases)
3.2.Reduction Theory (Space-Free)
3.3.Direct Integral of Hilbert Spaces
3.4.Decomposition of States (Separable Cases)
3.5.Central Decomposition of States (Separable Cases)
4.Special Topics
4.1.Derivations and Automorphisms of C*-Algebras and W*- Algebras
4.2.Examples of Factors，1 (General Construction)
4.3.Examples of Factors，2 (Uncountable Families of Types Ⅱ1，Ⅱ and Ⅲ
4.4.Examples of Factors，3 (Other Results and Problems)
4.5.Global W*-Algebras (Non-Factors)
4.6.Type I C*-Algebras
4.7.On a Stone-Weierstrass Theorem for C*-Algebras
Bibliography
Subject Index
List of Symbols