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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.
Table of contents:
1. Factors; 2. Subfactors and index; 3. Some basic facts; 4. The principal and dual graphs; 5. Commuting squares; 6. Vertex and spin models.
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.
These notes give an introduction to subfactors suitable for newcomers to the field.
Table of contents:
1. Factors; 2. Subfactors and index; 3. Some basic facts; 4. The principal and dual graphs; 5. Commuting squares; 6. Vertex and spin models.
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.
These notes give an introduction to subfactors suitable for newcomers to the field.