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Classification of Subfactors and Their Endomorphisms
 
Sorin Popa University of California, Los Angeles, Los Angeles, CA
A co-publication of the AMS and CBMS
Classification of Subfactors and Their Endomorphisms
Softcover ISBN:  978-0-8218-0321-9
Product Code:  CBMS/86
List Price: $29.00
Individual Price: $23.20
eBook ISBN:  978-1-4704-2446-6
Product Code:  CBMS/86.E
List Price: $27.00
Individual Price: $21.60
Softcover ISBN:  978-0-8218-0321-9
eBook: ISBN:  978-1-4704-2446-6
Product Code:  CBMS/86.B
List Price: $56.00 $42.50
Classification of Subfactors and Their Endomorphisms
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Classification of Subfactors and Their Endomorphisms
Sorin Popa University of California, Los Angeles, Los Angeles, CA
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-0321-9
Product Code:  CBMS/86
List Price: $29.00
Individual Price: $23.20
eBook ISBN:  978-1-4704-2446-6
Product Code:  CBMS/86.E
List Price: $27.00
Individual Price: $21.60
Softcover ISBN:  978-0-8218-0321-9
eBook ISBN:  978-1-4704-2446-6
Product Code:  CBMS/86.B
List Price: $56.00 $42.50
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 861995; 110 pp
    MSC: Primary 46; Secondary 81

    This monograph provides a more unified and self-contained presentation of the results presented in Popa's earlier papers on this topic. The classification is in terms of the standard invariant \(\mathcal G_{\mathcal N,\mathcal M}\) of the subfactor \(\mathcal N\subset \mathcal M\). This invariant is a lattice of inclusions of finite dimensional algebras associated with the Jones iterated basic construction for \(\mathcal N\subset \mathcal M\). “Classification of Subfactors and Their Endomorphisms” is based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August 1993.

    Readership

    Mathematicians interested in functional analysis and quantum theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Preliminaries
    • Chapter 2. Approximate innerness for subfactors
    • Chapter 3. Central freeness for subfactors
    • Chapter 4. More on central freeness: the type III$_i$ case
    • Chapter 5. The main classification result
    • Chapter 6. Applications
    • 7. Appendix
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 861995; 110 pp
MSC: Primary 46; Secondary 81

This monograph provides a more unified and self-contained presentation of the results presented in Popa's earlier papers on this topic. The classification is in terms of the standard invariant \(\mathcal G_{\mathcal N,\mathcal M}\) of the subfactor \(\mathcal N\subset \mathcal M\). This invariant is a lattice of inclusions of finite dimensional algebras associated with the Jones iterated basic construction for \(\mathcal N\subset \mathcal M\). “Classification of Subfactors and Their Endomorphisms” is based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August 1993.

Readership

Mathematicians interested in functional analysis and quantum theory.

  • Chapters
  • Chapter 1. Preliminaries
  • Chapter 2. Approximate innerness for subfactors
  • Chapter 3. Central freeness for subfactors
  • Chapter 4. More on central freeness: the type III$_i$ case
  • Chapter 5. The main classification result
  • Chapter 6. Applications
  • 7. Appendix
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.