NOTES ON SUBFACTORS AND STATISTICAL MECHANICS

The following sections are included:

• Introduction

• Spin Models in Statistical Mechanics

  • Example 1.1. The Potts model

  • Example 1.2. The model of Fateev and Zamolodchikov

• von Neumann Algebras

• Subfactors

• The Tower of Relative Commutants

• Some Examples of Bratteli Diagrams

  • The Q-state Potts model

  • The Fateev-Zamolodchikov model

• Type III Factors

  • Example 6.1. The Powers factors

• Vertex Models in Statistical Mechanics

• Quantum Groups

• References