C´úÊýÈëÃÅAn invitation to C-algebras

Chapter I Fundamentals 1£®1£® Operators and C*-algebras 1£®2£® Two density theorems 1£®3£® Ideals£¬ quotients£¬ and representations l£®4£® C*-algebras of compact operators 1£®5£® CCR and GCR algebras l£®6£® States and the GNS construction 1£®7£® The existence of representations 1£®8£® Order and approximate units Chapter 2 Multiplicity Theory 2£®1£® From type I to multiplicity-free 2£®2£® Commutative C*-algebras and normal operators 2£®3£® An application£º type I von Neumann algebras 2£®4£® GCR algebras are type I Chapter 3 Borel Structures 3£®1£® Polish spaces 3£®2£® Borel sets and analytic sets 3£®3£® Borel spaces 3£®4£® Cross sections Chapter 4 From Commutative Algebras to GCR Algebras 4£®1£® The spectrum of a C*-algebra 4£®2£® Decomposable operator algebras 4£®3£® Representations of GCR algebras Bibliography Index