Dualizability and index of subfactors

Journal article

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 L2-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.

Authors: Bartels, A; Douglas, C; Henriques, A

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: European Mathematical Society Publisher's website
• Journal: Quantum Topology Journal website
• Volume: 5
• Issue: 3
• Pages: 289-345
• Publication date: 2014-11-20
• DOI: 10.4171/QT/53
• EISSN: 1664-073X
• ISSN: 1663-487X
• Keywords: Connes fusion; Haagerup L2-space; SBTMR; index; dualizability; Subfactors; Journal Article