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The little desert? Some subfactors with index in the interval (5,3 +v5)

Morrison, Scott; Peters, Emily

Description

Progress on classifying small index subfactors has revealed an almost empty landscape. In this paper we give some evidence that this desert continues up to index $3+\sqrt{5}$. There are two known quantum-group subfactors with index in this interval, and we show that these subfactors are the only way to realize the corresponding principal graphs. One of these subfactors is 1-supertransitive, and we demonstrate that it is the only 1-supertransitive subfactor with index between 5 and $3+\sqrt{5}$....[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/75184
Source: International Journal of Mathematics
DOI: 10.1142/S0129167X14500803

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