Skip navigation
Skip navigation

Subfactors of index less than 5, Part 1: The principal graph odometer

Morrison, Scott


In this series of papers we show that there are exactly ten subfactors, other than A∞ subfactors, of index between 4 and 5. Previously this classification was known up to index 3 +√3. In the first paper we give an analogue of Haagerup’s initial classification of subfactors of index less than 3 +√3, showing that any subfactor of index less than 5 must appear in one of a large list of families. These families will be considered separately in the three subsequent papers in this series.

CollectionsANU Research Publications
Date published: 2012-05
Type: Journal article
Source: Communications in Mathematical Physics
DOI: 10.1007/s00220-012-1426-y


File Description SizeFormat Image
Morrison_Subfactors2012.pdf1.63 MBAdobe PDFThumbnail

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator