Subfactors and Connes fusion for twisted loop groups

2010/03/11 by Antony Wassermann, Wassermann, Antony · 3 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.OA #msc:46L37 #msc:81T40

paper · pdf · doi:10.48550/arxiv.1003.2292

arxiv created 2010/03/11 · arxiv updated 2010/03/12

Abstract

In this announcement we explain how to extend the von Neumann algebra definition of fusion to the case of twisted loop groups. This project completes research started by my student Robert Verrill in his 2001 Cambridge Ph.D. thesis.

Cited by

• Neveu-Schwarz and operators algebras I: Vertex operators superalgebras
• Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram\n symmetries
• Neveu-Schwarz and operators algebras III: Subfactors and Connes fusion

Related

• Twisted K-theory and loop group representations
• Twisted K-theory and loop groups
• Fusion systems in representation theory
• Reducedness of twisted loop groups
• Neveu-Schwarz and operators algebras III: Subfactors and Connes fusion