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

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 234.Publisher: Cambridge : Cambridge University Press, 1997Description: 1 online resource (xii, 162 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511566219 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.55 21
LOC classification:
  • QA326 .J66 1997
Online resources:
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.
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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

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