Temperley–Lieb planar algebra modules arising from the ADE planar algebras
نویسندگان
چکیده
منابع مشابه
Skein theory for the ADE planar algebras
We give generators and relations for the planar algebras corresponding to the E8 subfactor. We also give an explicit basis, and an algorithm to express an arbitrary diagram as a linear combination of basis diagrams. We summarize the analogous results for the other ADE subfactors, which can be obtained by the same methods. © 2009 Elsevier B.V. All rights reserved.
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We study 2-cabled analogs of Voiculescu’s trace and free Gibbs states on Jones planar algebras. These states are traces on a tower of graded algebras associated to a Jones planar algebra. Among our results is that, with a suitable de nition, niteness of free Fisher information for planar algebra traces implies that the associated tower of von Neumann algebras consists of factors, and that the s...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2005
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2005.07.006