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On a class of II\(_1\) factors with at most one Cartan subalgebra - MaRDI portal

On a class of II\(_1\) factors with at most one Cartan subalgebra (Q990187)

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English	On a class of II\(_1\) factors with at most one Cartan subalgebra	scientific article

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scholarly article

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On a class of II\(_1\) factors with at most one Cartan subalgebra (English)

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zbMATH Open document ID

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10.4007/annals.2010.172.713

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Annals of Mathematics. Second Series

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publication date

6 September 2010

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full work available at URL

https://arxiv.org/abs/0706.3623

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http://pjm.math.berkeley.edu/annals/2010/172-1/p15.xhtml

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

free group factors

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profinite actions

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Cartan subalgebras

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MaRDI profile type

MaRDI publication profile

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Amenable correspondences and approximation properties for von Neumann algebras

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Inner Amenability and Fullness

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Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)

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An amenable equivalence relation is generated by a single transformation

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A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras

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Proper actions of lamplighter groups associated with free groups

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Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one

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Multipliers of the Fourier Algebras of Some Simple Lie Groups and Their Discrete Subgroups

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Sous-anneaux abéliens maximaux dans les facteurs de type fini

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On Groups of Measure Preserving Transformations. I

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Interpolated free group factors

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Property Γ and Inner Amenability

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I

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Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II

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\(\ell^2\) invariants of equivalence relations and groups

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An uncountable family of nonorbit equivalent actions of 𝔽_{𝕟}

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Applications of free entropy to finite von Neumann algebras. II

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Weak amenability of CAT(0)-cubical groups

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An example of a non nuclear C*-algebra, which has the metric approximation property

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Compact ergodic groups of automorphisms

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Non-orbit equivalent actions of $\mathbb{F}_n$

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Cocycle superrigidity for profinite actions of property (T) groups

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Amalgamated free products of weakly rigid factors and calculation of their symmetry groups

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Actions of dense subgroups of compact groups and II$_{1}$-factors with the Haagerup property

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Index for subfactors

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Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\)

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Diagonalizing Matrices

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Discrete groups, expanding graphs and invariant measures. Appendix by Jonathan D. Rogawski

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Orbit equivalence rigidity and bounded cohomology

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On rings of operators. IV

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There is no separable universal 𝐼𝐼₁-factor

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Solid von Neumann algebras.

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A Kurosh-type theorem for type II1 factors

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\(L^{2}\)-rigidity in von Neumann algebras

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Entropy and index for subfactors

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Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem''.

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Some rigidity results for non-commutative Bernoulli shifts

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On a class of type \(\text{II}_1\) factors with Betti numbers invariants

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Strong rigidity of \(\text{II}_1\) factors arising from malleable actions of \(w\)-rigid groups. I

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On Ozawa's Property for Free Group Factors

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Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index

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Khintchine type inequalities for reduced free products and applications

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Theory of operator algebras. II

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The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras

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Free Random Variables

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