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