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Classification of sub-Cuntz states (Q2348559)

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Language	Label	Description	Also known as
English	Classification of sub-Cuntz states	scientific article

Statements

scholarly article

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Classification of sub-Cuntz states (English)

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Katsunori Kawamura

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Algebras and Representation Theory

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publication date

15 June 2015

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full work available at URL

https://arxiv.org/abs/1408.1178

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zbMATH Keywords

extension of state

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sub-Cuntz state

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tensor product formula

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matricization

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free semigroup

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MaRDI profile type

MaRDI publication profile

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PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY

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Branching laws for endomorphisms of fermions and the Cuntz algebra O2

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Induced product representations of extended Cuntz algebras

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Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\)

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Iterated function systems and permutation representations of the Cuntz algebra

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Pure states on O_d

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Representation theory and numerical AF-invariants. The representations and centralizers of certain states on 𝒪_{𝒹}

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Endomorphisms of B(H)

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Simple \(C^*\)-algebras generated by isometries

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The algebraic structure of non-commutative analytic Toeplitz algebras

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Invariant Subspaces and Hyper-Reflexivity for Free Semigroup Algebras

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Atomic representations of Cuntz algebras

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A Newton–Grassmann Method for Computing the Best Multilinear Rank-$(r_1,$ $r_2,$ $r_3)$ Approximation of a Tensor

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Endomorphisms of B(H), extensions of pure states, and a class of representations of O_n

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Cuntz Algebra States Defined by Implementers of Endomorphisms of the CAR Algebra

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Type I \(C^ *\)-algebras

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Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. I: Cuntz algebras

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Irreducible representations of the Cuntz algebra $\mathcal {O}_N$

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Linear functionals on the Cuntz algebra

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Universal fermionization of bosons on permutative representations of the Cuntz algebra O2

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Extensions of representations of the <i>CAR</i> algebra to the Cuntz algebra O2—the Fock and the infinite wedge

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The Perron-Frobenius operators, invariant measures and representations of the Cuntz-Krieger algebras

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Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory

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Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations

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A tensor product of representations of Cuntz algebras

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AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS

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C\(^*\)-bialgebra defined by the direct sum of Cuntz algebras

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Classification and realizations of type III factor representations of Cuntz--Krieger algebras associated with quasi-free states

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Pentagon equation arising from state equations of a C\(^*\)-bialgebra

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\(R\)-matrices and the Yang-Baxter equation on GNS representations on \(C^*\)-bialgebras.

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Tensor products of type III factor representations of Cuntz-Krieger algebras

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Continued fraction expansions and permutative representations of the Cuntz algebra \(\mathcal O_\infty\)

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A Multilinear Singular Value Decomposition

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Primitive partial permutation representations of the polycyclic monoids and branching function systems.

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The positivity of linear functionals on Cuntz algebras associated to unit vectors

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STATE EXTENSIONS OF STATES ON UHF<sub>n</sub>ALGEBRA TO CUNTZ ALGEBRA

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10468-014-9509-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:2348559

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