Relative dimension, towers of projections and commuting squares of subfactors

DOI10.2140/pjm.1989.137.181zbMath0699.46042OpenAlexW1998125204MaRDI QIDQ913202

Sorin Popa

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2140/pjm.1989.137.181

zbMATH Keywords

indexsubfactorsJones' polynomialJones indexcommuting squares ofrelative dimensionsubfactor of finite indextowers of projections

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35)

Related Items (18)

A remark on a theorem of P. de la Harpe and V. F. R. Jones ⋮ CONTINUOUS FAMILIES OF HYPERFINITE SUBFACTORS WITH THE SAME STANDARD INVARIANT ⋮ Orbifold subfactors from Hecke algebras ⋮ Classification of amenable subfactors of type II ⋮ Families of hyperfinite subfactors with the same standard invariant and prescribed fundamental group ⋮ Markovianity and the Thompson monoid \(F^+\) ⋮ \(W^\ast\)-representations of subfactors and restrictions on the Jones index ⋮ Unnamed Item ⋮ Finite dimensional approximation of pairs of algebras and obstructions for the index ⋮ An angle between intermediate subfactors and its rigidity ⋮ Asymptotic orthogonalization of subalgebras in \(\mathrm{II}_1\) factors ⋮ A note on irreducible quadrilaterals of II1 factors ⋮ Extension of Jones' projections ⋮ Classification of subfactors: The reduction to commuting squares ⋮ On subfactors with unitary orthonormal bases ⋮ Markovianity and the Thompson group \(F\) ⋮ Centrally trivial automorphisms and an analogue of Connes' \(\chi(M)\) for subfactors ⋮ Irreducible subfactors from some symmetric graphs

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