Chapter 12: The C*-Algebraic Formulation

The following sections are included:

• A Word on Statistical Theories

• Overview on Canonical Test Function Spaces

• The C*-Algebra of Classical Observables

• Algebraic Symplectic Geometry

• *-Automorphic Actions

• The Statistical Field States of Classical ED

  • Characteristic Functions, Bauer Simplex of States

  • Regular States and Weak Distributions on Phase Space

• Field Expectations

  • Field Expectations and Moments

  • Field Fluctuations

  • Fluctuation Free States