本书是Springer经典数学教材系列之一。该系列包含已出版的400多本教材，许多已经被奉为经典并该科目的标准参考书。该书对von Neumann代数理论给出了全面而详细的介绍。几乎包含该科目的所有基本结果。对于初学着和专家来说本书都是一本非常难得的参考书。目次：一般理论；W*-代数的分类；分解理论；专题。
读者对象：数学专业的研究生和相关专业的科研人员。
1.General Theory
1.1.Definitions of C*-Algebras and W*-Algebras
1.2.Com*t*ive C*-Algebras
1.3.Stonean Spaces
1.4.Positive Elements of a C*-Algebra
1.5.Positive Linear Fun*ionais 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.Spe*ral Resolution ofSelf-Ad*oint Elements in a W*-Algebra
1.12.The Polar Deposition of Elements of a W*-Algebra
1.13.Linear Fun*ionals on a W*-Algebra
1.14.Polar Deposition of Linear Fun*ionals on a W*-Algebra
1.15.Concrete C*-Algebras and W*-Algebras
1.16.The Represent*ion Theorems for C*-Algebras and W*- Algebras
1.17.The Second Dual of a O-Algebra
1.18.Com*t*ive W*-Algebras ..
1.19.The C*-Algebra C of all Compa* Linear Oper*o* on a Hilbert Space
1.20.The Com*t*ion Theorem of yon Neu*nn
1.21.*-Represent*ions of C*-Algebras, 1
1.22.Tensor Produ*s of C*-Algebras and W*-Algebras
1.23.The Indu*ive Limit and Infinite Tensor Produ* of C*-Algebras
1.24.Radon-Nikodym Theorems in W*-Algebras
2.Classific*ion of W*-Algebras
2.1.Equivalence of Pro*e*ions and the Comparability Theorem.
2.2.Classific*ion 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 Produ*s of W*-Algebras
2.7.*-Represent*ions of C*-Algebras and W*-Algebras, 2.
2.8.The Com*t*ion Theorem of Tensor Produ*s
2.9.Sp*ial Isomorphisms of W*-Algebras
3.Deposition Theory
3.1.Depositions of St*es (Non-Separable Cases)
3.2.Redu*ion Theory (Space-Free)
3.3.Dire* Integral of Hilbert Spaces
3.4.Deposition of St*es (Separable Cases)
3.5.Central Deposition of St*es (Separable Cases)
4.Special Topics
4.1.Deriv*ions and Automorphisms of C*-Algebras and W*- Algebras
4.2.Examples of Fa*o*, 1 (General Constru*ion)
4.3.Examples of Fa*o*, 2 (Uncountable Families of Types II1,II and III
4.4.Examples of Fa*o*, 3 (Other Results and Problems)
4.5.Global W*-Algebras (Non-Fa*o*)
4.6.Type I C*-Algebras
4.7.On a Stone-Weie*trass Theorem for C*-Algebras
Bibliography
Sub*e* Index
List of Symbols
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