1. Factors -- 2. Subfactors and index -- 3. Some basic facts -- 4. The principal and dual graphs -- 5. Commuting squares -- 6. Vertex and spin models -- App. A.1. Concrete and abstract von Neumann algebras -- App. A.2. Separable pre-duals, Tomita Takesaki theorem -- App. A.3. Simplicity of factors -- App. A.4. Subgroups and subfactors -- App. A.5. From subfactors to knots
Summary
Subfactors have been a subject of considerable research activity for about fifteen years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late chapter
Bibliography
Includes bibliographical references (pages 151-155) and index