Introduction to subfactors / V. Jones, V.S. Sunder.

Format:

Book

Author/Creator:

Jones, Vaughan F. R., 1952- author.

Sunder, V. S., author.

Series:

London Mathematical Society lecture note series ; 234.

London Mathematical Society lecture note series ; 234

Language:

English

Subjects (All):

Operator algebras.

Physical Description:

1 online resource (xii, 162 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1997.

Language Note:

English

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.

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

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and index.

ISBN:

1-139-88527-8

1-107-36741-7

1-107-37198-8

1-107-36250-4

1-107-36929-0

1-299-40504-5

1-107-36495-7

0-511-56621-2