Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.

DOI10.7146/math.scand.a-12110zbMath0641.46034OpenAlexW2530767150MaRDI QIDQ3782244

Sorin Popa

Publication date: 1985

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166947

zbMATH Keywords

factormaximal abelian subalgebraCartan subalgebraJones indexhypertracediagonal subalgebrasConnes-Haagerup result on injective von Neumann algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Classifications of (C^*)-algebras (46L35)

Related Items (28)

Entropy for extensions of Bernoulli shifts ⋮ Perturbations of subalgebras of type II\(_1\) factors ⋮ Generator problem for certain property T factors ⋮ A few remarks on Pimsner–Popa bases and regular subfactors of depth 2 ⋮ Unshaded planar algebras and their associated II\(_{1}\) factors ⋮ Rigidity results for von Neumann algebras arising from mixing extensions of profinite actions of groups on probability spaces ⋮ A generalization of expander graphs and local reflexivity of uniform Roe algebras ⋮ On sofic actions and equivalence relations ⋮ Divisible operators in von Neumann algebras ⋮ Singularity of radial subalgebras in II\(_ 1\) factors associated with free products of groups ⋮ Approximate equivalence of group actions ⋮ Values of the Pukánszky invariant in McDuff factors ⋮ Malnormal subgroups of lattices and the Pukánszky invariant in group factors ⋮ Constructing MASAs with prescribed properties ⋮ The Hochschild cohomology problem for von Neumann algebras ⋮ Relative property (T) for the subequivalence relations induced by the action of SL\(_2(\mathbb Z)\) on \(\mathbb T^2\) ⋮ Asymptotic orthogonalization of subalgebras in \(\mathrm{II}_1\) factors ⋮ Normed ideal perturbation of irreducible operators in semifinite von Neumann factors ⋮ Normalizers of irreducible subfactors ⋮ On MASAs in \(q\)-deformed von Neumann algebras ⋮ Bimodules over Cartan subalgebras ⋮ On subfactors with unitary orthonormal bases ⋮ Norming \(C^*\)-algebras by \(C^*\)-subalgebras ⋮ The Laplacian subalgebra of $\mathcal {L}(\mathbb {F}_N)^{\overline {\otimes }_k}$ is a strongly singular masa ⋮ Orbital factor map ⋮ Ergodic theory and maximal abelian subalgebras of the hyperfinite factor ⋮ Abelian subalgebras of von Neumann algebras from flat tori in locally symmetric spaces ⋮ The Laplacian MASA in a free group factor

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