Classification of subfactors and their endomorphisms
Author(s)
Bibliographic Information
Classification of subfactors and their endomorphisms
(Regional conference series in mathematics, no. 86)
American Mathematical Society, c1995
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Note
Includes bibliographical references (p. 107-110)
Description and Table of Contents
Description
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.
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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