Introduction to Subfactors

These notes give an introduction to subfactors suitable for newcomers to the field.

V. Jones (Author), V. S. Sunder (Author)

9780521584203, Cambridge University Press

Paperback, published 15 May 1997

176 pages, 44 b/w illus.
22.8 x 15.2 x 1.2 cm, 0.245 kg

'The book is compact and well written …' European Mathematical Society

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.

1. Factors
2. Subfactors and index
3. Some basic facts
4. The principal and dual graphs
5. Commuting squares
6. Vertex and spin models.

Subject Areas: Functional analysis & transforms [PBKF]