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Classification of Subfactors and Their Endomorphisms
Sorin Popa, University of California, Los Angeles, CA
A co-publication of the AMS and CBMS.
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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$23
Member Price: US$18.40
All Individuals: US$18.40
Order Code: CBMS/86
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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

  • 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
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