Contents Introduction.
6. Selected Chapters of C*-algebras.
6.1 Lp-Spaces.
6.1.1 Characteristic Families
of Eigenvalues.
6.1.2 Characteristic Sequences.
6.1.3 Properties of the Lp-spaces.
6.1.4 Hilbert-Schmidt
Operators.
6.1.5 The Trace.
6.1.6 Duals of Lp-spaces.
6.1.7 Exterior Multiplication and Lp-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(
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