CBMS Regional Conference Series in Mathematics 1995; 110 pp; softcover Number: 86 ISBN10: 0821803212 ISBN13: 9780821803219 List Price: US$25 Member Price: US$20 All Individuals: US$20 Order Code: CBMS/86
 This monograph provides a more unified and selfcontained 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 NSFCBMS 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
