Dualizability and index of subfactors
Operator Algebras
2017-01-23 v2 Mathematical Physics
math.MP
Abstract
In this paper, we develop the theory of bimodules over von Neumann algebras, with an emphasis on categorical aspects. We clarify the relationship between dualizability and finite index. We also show that, for von Neumann algebras with finite-dimensional centers, the Haagerup L^2-space and Connes fusion are functorial with respect to homorphisms of finite index. Along the way, we describe a string diagram notation for maps between bimodules that are not necessarily bilinear.
Keywords
Cite
@article{arxiv.1110.5671,
title = {Dualizability and index of subfactors},
author = {Arthur Bartels and Christopher L. Douglas and André Henriques},
journal= {arXiv preprint arXiv:1110.5671},
year = {2017}
}
Comments
36 pages. Additional references and remarks, updated terminology