AMS Bookstore LOGO amslogo
Return to List

AMS TextbooksAMS Applications-related Books

Classification of Subfactors and Their Endomorphisms
Sorin Popa, University of California, Los Angeles, CA
A co-publication of the AMS and CBMS.

CBMS Regional Conference Series in Mathematics
1995; 110 pp; softcover
Number: 86
ISBN-10: 0-8218-0321-2
ISBN-13: 978-0-8218-0321-9
List Price: US$25
Member Price: US$20
All Individuals: US$20
Order Code: CBMS/86
[Add Item]

Request Permissions

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.


Mathematicians interested in functional analysis and quantum theory.

Table of Contents

  • Preliminaries
  • Approximate innerness for subfactors
  • Central freeness for subfactors
  • More on central freeness: the type \(\text{III}_1\) case
  • The main classification result
  • Applications
  • Appendix
  • References
Powered by MathJax

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia