Constructing MASAs with prescribed properties
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Publication:2002626
DOI10.1215/21562261-2019-0003zbMath1430.46044arXiv1610.08945OpenAlexW2542306781MaRDI QIDQ2002626
Publication date: 12 July 2019
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.08945
General theory of von Neumann algebras (46L10) Subfactors and their classification (46L37) Classification of factors (46L36)
Related Items (7)
Thin \(\text{II}_1\) factors with no Cartan subalgebras ⋮ Non-isomorphism of \(A^{\ast n}\), \(2\leq n \leq \infty \), for a non-separable abelian von Neumann algebra \(A\) ⋮ Asymptotic orthogonalization of subalgebras in \(\mathrm{II}_1\) factors ⋮ Operator algebras in India in the past decade ⋮ On MASAs in \(q\)-deformed von Neumann algebras ⋮ Coarse decomposition of \(\mathrm{II}_1\) factors ⋮ Maximal rigid subalgebras of deformations and \(L^2\)-cohomology
Cites Work
- Unnamed Item
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- A II\(_{1}\) factor approach to the Kadison-Singer problem
- Singular maximal Abelian *-subalgebras in continuous von Neumann algebras
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors
- Maximal injective subalgebras in factors associated with free groups
- On a class of II\(_1\) factors with at most one Cartan subalgebra
- On a problem of R.V. Kadison on maximal Abelian *-subalgebras in factors
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Reconstruction of a factor from measures on Takesaki's unitary equivalence relation
- Classification of subfactors: The reduction to commuting squares
- Index for subfactors
- Classification of amenable subfactors of type II
- The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
- Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property \(T\)
- On some decomposition properties for factors of type \(\text{II}_1\)
- Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups
- Paving over arbitrary MASAs in von Neumann algebras
- A class of \(\mathrm{II}_1\) factors with exactly two group measure space decompositions
- On the structural theory of \(\mathrm{II}_1\) factors of negatively curved groups. II: Actions by product groups
- Cocycle and orbit equivalence superrigidity for malleable actions of \(w\)-rigid groups
- Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I
- On a class of type \(\text{II}_1\) factors with Betti numbers invariants
- On the unitary equivalence among the components of decompositions of representations of involutive Banach algebras and the associated diagonal algebras
- Sous-anneaux abéliens maximaux dans les facteurs de type fini
- On rings of operators. IV
- Applications of free entropy to finite von Neumann algebras
- On Maximal Abelian Subrings of Factors of Type II
- Explicit computations of all finite index bimodules for a family of II$_1$ factors
- Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
- Entropy and index for subfactors
- An amenable equivalence relation is generated by a single transformation
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
- The free entropy dimension of hyperfinite von Neumann algebras
- Cartan subalgebras and bimodule decompositions of $ \mathrm{II}_1 $ factors
- On the structural theory of $\rm II_1$ factors of negatively curved groups
- Cartan subalgebras of amalgamated free product II$_1$ factors
- On Rings of Operators. II
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