本書是Springer經(jīng)典數(shù)學(xué)教材系列之一。該系列包含已出版的400多本教材，許多已經(jīng)被奉為經(jīng)典并該科目的標(biāo)準(zhǔn)參考書。該書對von Neumann代數(shù)理論給出了全面而詳細(xì)的介紹。幾乎包含該科目的所有基本結(jié)果。對于初學(xué)著和專家來說本書都是一本非常難得的參考書。目次：一般理論；W*-代數(shù)的分類；分解理論；專題。 讀者對象：數(shù)學(xué)專業(yè)的研究生和相關(guān)專業(yè)的科研人員。

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