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