C*代數(shù)和W*代數(shù)

1.GeneralTheory
1.1.DefinitionsofC*-AlgebrasandW*-Algebras
1.2.CommutativeC*-Algebras
1.3.StoneanSpaces
1.4.PositiveElementsofaC*-Algebra
1.5.PositiveLinearFunctionaisonaC*-Algebra
1.6.ExtremePointsintheUnitSphereofaC*-Algebra
1.7.TheWeakTopologyonaW*-Algebra
1.8.VariousTopologiesonaW*-Algebra
1.9.Kaplansky'sDensityTheorem
1.1 0.IdealsinaW*-Algebra
1.1 1.SpectralResolutionofSelf-AdjointElementsinaW*-Algebra
1.1 2.ThePolarDecompositionofElementsofaW*-Algebra
1.1 3.LinearFunctionalsonaW*-Algebra
1.1 4.PolarDecompositionofLinearFunctionalsonaW*-Algebra
1.1 5.ConcreteC*-AlgebrasandW*-Algebras
1.1 6.TheRepresentationTheoremsforC*-AlgebrasandW*-Algebras
1.1 7.TheSecondDualofaO-Algebra
1.1 8.CommutativeW*-Algebras
1.1 9.TheC*-AlgebraCofallCompactLinearOperatorsonaHilbertSpace
1.2 0.TheCommutationTheoremofyonNeumann
1.2 1.*-RepresentationsofC*-Algebras，1
1.2 2.TensorProductsofC*-AlgebrasandW*-Algebras
1.2 3.TheInductiveLimitandInfiniteTensorProductofC*-Algebras
1.2 4.Radon-NikodymTheoremsinW*-Algebras
2.ClassificationofW*-Algebras
2.1.EquivalenceofProjectionsandtheComparabilityTheorem
2.2.ClassificationofW*-Algebras
2.3.TypeIW*-Algebras
2.4.FiniteW*-Algebras
2.5.TracesandCriterionsofTypes
2.6.TypesofTensorProductsofW*-Algebras
2.7.*-RepresentationsofC*-AlgebrasandW*-Algebras，2
2.8.TheCommutationTheoremofTensorProducts
2.9.SpatialIsomorphismsofW*-Algebras
3.DecompositionTheory
3.1.DecompositionsofStates（Non-SeparableCases）
3.2.ReductionTheory（Space-Free）
3.3.DirectIntegralofHilbertSpaces
3.4.DecompositionofStates（SeparableCases）
3.5.CentralDecompositionofStates（SeparableCases）
4.SpecialTopics
4.1.DerivationsandAutomorphismsofC*-AlgebrasandW*-Algebras
4.2.ExamplesofFactors，1（GeneralConstruction）
4.3.ExamplesofFactors，2（UncountableFamiliesofTypesⅡ1，ⅡandⅢ
4.4.ExamplesofFactors，3（OtherResultsandProblems）
4.5.GlobalW*-Algebras（Non-Factors）
4.6.TypeIC*-Algebras
4.7.OnaStone-WeierstrassTheoremforC*-Algebras
Bibliography
SubjectIndex
ListofSymbols