On the Guionnet-Jones-Shlyakhtenko construction for graphs

2009/11/11 by Vijay Kodiyalam, Kodiyalam, Vijay, V. S. Sunder +1 · 1 citation
Mathematics · #46L37 #46L54 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L37 #msc:46L54

paper · pdf · doi:10.48550/arxiv.0911.2047

42 pages, 12 figures. v2 has updated references and minor changes. v3 corrects some typos.

openalex publication_date 2009/11/11 · arxiv created 2010/03/24 · arxiv updated 2010/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using an analogue of the Guionnet-Jones-Shlaykhtenko construction for graphs we show that their construction applied to any subfactor planar algebra of finite depth yields an inclusion of interpolated free group factors with finite parameter, thereby giving another proof of their universality for finite depth planar algebras.

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• A Construction of Subfactors of Planar Algebra

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