Guionnet-Jones-Shlyakhtenko subfactors associated to finite-dimensional Kac algebras
Vijay Kodiyalam, V. S. Sunder
TL;DR
This paper investigates the Guionnet-Jones-Shlyakhtenko construction applied to planar algebras from finite-dimensional Kac algebras, identifying the resulting factors as finite interpolated free group factors.
Contribution
It provides a detailed analysis linking the construction to finite interpolated free group factors, advancing understanding of subfactors associated with Kac algebras.
Findings
Identification of factors as finite interpolated free group factors
Analysis of the planar algebra structure for finite-dimensional Kac algebras
Extension of subfactor theory to new classes of factors
Abstract
We analyse the Guionnet-Jones-Shlyakhtenko construction for the planar algebra associated to a finite-dimensional Kac algebra and identify the factors that arise as finite interpolated free group factors.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Operator Algebra Research · Geometric and Algebraic Topology