1998/03/31 by Marta Asaeda, M. Asaeda, Uffe Haagerup +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th #math.OA #math.QA #msc:46L37 #msc:81T05
paper · pdf · doi:10.1007/s002200050574
published as Commun.Math.Phys. 202, 1-63 (1999) · 70 pages, Latex, using epic.sty, eepic.sty, epsf.sty, here.sty
openalex publication_date 1999/04/01 · arxiv created 1999/06/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove existence of subfactors of finite depth of the hyperfinite II1 factor with indices (5+sqrt13)/2= 4.302... and (5+sqrt17)/2=4.561.... The existence of the former was announced by the second named author in 1993 and that of the latter has been conjectured since then. These are the only known subfactors with finite depth which do not arise from classical groups, quantum groups or rational conformal field theory.