Volume 5: Selected Topics, 1st Edition

Selected Topics, 1st Edition

Introduction.

6. Selected Chapters of C*-algebras.

6.1 L^p-Spaces.

6.1.1 Characteristic Families of Eigenvalues.

6.1.2 Characteristic Sequences.

6.1.3 Properties of the L^p-spaces.

6.1.4 Hilbert-Schmidt Operators.

6.1.5 The Trace.

6.1.6 Duals of L^p-spaces.

6.1.7 Exterior Multiplication and L^p-Spaces.

6.1.8 The Canonical Projection of the Triduals of K.

6.1.9 Integral Operators on Hilbert Spaces.

6.2 Selfadjoint Linear Differential Equations.

6.2.1 Selfadjoint boundary Value Problems.

6.2.2 The Regular Sturm-Liouville Theory.

6.2.3 Selfadjoint Linear Differential Equations on T.

6.2.4 Associated Parabolic and Hyperbolic Evolution Equations.

6.2.5 Selfadjoint Linear Partial Differential Equations.

6.2.6 Associated Parabolic and Hyperbolic Evolution Equations.

6.3 Von Neumann Algebras.

6.3.1 The Strong Topology.

6.3.2 Bidual of a C*-algebra.

6.3.3 Extension of the Functional Calculus.

6.3.4 Von Neumann-Algebras.

6.3.5 The Commutants.

6.3.6 Irreducible Representations.

6.3.7 Commutative von Neumann Algebras.

6.3.8 Representations of W*-algebras.

6.3.9 Finite-dimensional-algebras.

6.3.10 A generalization.

7. C*-algebras Generated by Groups.

7.1 Projective Representations of Groups.

7.1.1 Schur functions.

7.1.2 Projective Representations.

7.1.3 Supplementary Results.

7.1.4 Examples.

7.2 Clifford Algebras.

7.2.1 General Clifford Algebras.

7.2.2 Clp,q.

7.2.3 Cl(N).

Name Index. Subject Index.