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The legacy of Vaughan Jones in 𝐼𝐼₁ factors - MaRDI portal

The legacy of Vaughan Jones in 𝐼𝐼₁ factors (Q6071754)

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scientific article; zbMATH DE number 7771484

Language	Label	Description	Also known as
English	The legacy of Vaughan Jones in 𝐼𝐼₁ factors	scientific article; zbMATH DE number 7771484

Statements

scholarly article

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The legacy of Vaughan Jones in 𝐼𝐼₁ factors (English)

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Bulletin of the American Mathematical Society

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publication date

29 November 2023

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1090/bull/1805

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The Classification of Subfactors with Index at Most 5\frac{1}4

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Constructing the extended Haagerup planar algebra

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Memories of Vaughan Jones

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Algebras associated to intermediate subfactors

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Singly generated planar algebras of small dimension.

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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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A 𝐼𝐼₁ factor with two nonconjugate Cartan subalgebras

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Property T for von Neumann Algebras

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Subfactors and mathematical physics

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Random matrices, free probability, planar algebras and subfactors

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A semi-finite algebra associated to a subfactor planar algebra

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

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Cartan subalgebras of amalgamated free product II$_1$ factors

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Application of fusion rules to classification of subfactors

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Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor

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Index for subfactors

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A polynomial invariant for knots via von Neumann algebras

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Planar algebras

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The classification of subfactors of index at most 5

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The Jones polynomial, Knots, diagrams, and categories

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Index of subfactors and statistics of quantum fields. I

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NETS OF SUBFACTORS

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On rings of operators

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On rings of operators. IV

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Action of discrete amenable groups on von Neumann algebras

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

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Entropy and index for subfactors

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Finite dimensional approximation of pairs of algebras and obstructions for the index

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Classification of subfactors: The reduction to commuting squares

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Markov traces on universal Jones algebras and subfactors of finite index

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Classification of amenable subfactors of type II

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An axiomatization of the lattice of higher relative commutants of a subfactor

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Symmetric enveloping algebras amenability and AFD properties for subfactors

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Some properties of the symmetric enveloping algebra of a subfactor, with applications to amenability and property \(T\)

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Universal construction of subfactors

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

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On the vanishing cohomology problem for cocycle actions of groups on II_1 factors

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\(W^\ast\)-representations of subfactors and restrictions on the Jones index

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Universal properties of \(L(\mathbb{F}_ \infty)\) in subfactor theory.

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Cohomology and $L^2$-Betti Numbers for Subfactors and Quasi-Regular Inclusions

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Unique Cartan decomposition for \(\mathrm{II}_1\) factors arising from arbitrary actions of free groups

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Unique Cartan decomposition for \(\mathrm{II}_1\) factors

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Representation theory for subfactors, \(\lambda\)-lattices and \(C^\ast\)-tensor categories

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\(\mathrm{W}^*\)-rigidity paradigms for embeddings of \(\mathrm{II}_1\) 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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\(A\)-valued semicircular systems

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Factors of type II₁ without non-trivial finite index subfactors

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Identifiers

10.1090/bull/1805

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6071754

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