Euler totient of subfactor planar algebras

DOI10.1090/proc/14167zbMath1404.46054arXiv1703.04486OpenAlexW2596488380MaRDI QIDQ4683523

Sebastien Palcoux

Publication date: 21 September 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04486

zbMATH Keywords

latticeMöbius functionvon Neumann algebraBoolean algebrasubfactorplanar algebraEuler totientbiprojection

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Ordinary representations and characters (20C15) Series and lattices of subgroups (20D30) Representation theory of lattices (06B15) Subfactors and their classification (46L37)

Related Items (4)

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six ⋮ Interpolated family of non-group-like simple integral fusion rings of Lie type ⋮ Boolean lattices in finite alternating and symmetric groups ⋮ Ore's theorem on subfactor planar algebras

Cites Work

• On representing some lattices as lattices of intermediate subfactors of finite index
• Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
• A note on intermediate subfactors
• The planar algebra associated to a Kac algebra
• Dual Ore's theorem on distributive intervals of finite groups
• On Boolean intervals of finite groups
• Index for subfactors
• Lattices of intermediate subfactors
• Ore's theorem on cyclic subfactor planar algebras and beyond
• Order complexes of coset posets of finite groups are not contractible.
• Exchange relation planar algebras of small rank
• On the fundamental theorem of the Galois theory for finite factors
• Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
• ON JONES' PLANAR ALGEBRAS
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