On the non-occurrence of the Coxeter graphs \(\beta_{2n+1}\), \(D_{2n+1}\) and \(E_ 7\) as the principal graph of an inclusion of II\(_ 1\) factors

DOI10.2140/pjm.1993.161.185zbMath0798.43005OpenAlexW2071224401MaRDI QIDQ1318505

Publication date: 27 April 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.161.185

zbMATH Keywords

Coxeter graphs \(\Pi_ 1\) factors hypergroup action Jones' principal graph invariant

Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Classifications of (C^*)-algebras (46L35)

Related Items (10)

Singly generated planar algebras of small dimension. II. ⋮ The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ Orbifold subfactors from Hecke algebras ⋮ On Haagerup's list of potential principal graphs of subfactors ⋮ Singly generated planar algebras of small dimension, Part III ⋮ Some ergodic properties for infinite graphs associated with subfactors ⋮ Conjugate but non inner conjugate subfactors ⋮ Exchange relation planar algebras of small rank ⋮ GALOIS GROUPS AND AN OBSTRUCTION TO PRINCIPAL GRAPHS OF SUBFACTORS ⋮ Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors

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