Uniqueness, universality, and homogeneity of the noncommutative Gurarij space
From MaRDI portal
Publication:291758
DOI10.1016/j.aim.2016.04.017zbMath1348.46058arXiv1410.3345OpenAlexW2963023910WikidataQ59743903 ScholiaQ59743903MaRDI QIDQ291758
Publication date: 10 June 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.3345
Operator spaces and completely bounded maps (46L07) Applications of model theory (03C98) Other model constructions (03C30)
Related Items (10)
Noncommutative Choquet simplices ⋮ Model-theoretic aspects of the Gurarij operator system ⋮ The Ramsey property for Banach spaces and Choquet simplices, and applications ⋮ On Wolfgang Lusky's paper ``The Gurarij spaces are unique ⋮ THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT ⋮ ENFORCEABLE OPERATOR ALGEBRAS ⋮ The Ramsey property for operator spaces and noncommutative Choquet simplices ⋮ Fraïssé limits in functional analysis ⋮ A note on commutative and noncommutative Gurariĭ spaces ⋮ Operator space and operator system analogs of Kirchberg's nuclear embedding theorem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A proof of uniqueness of the Gurariĭ space
- Fraïssé sequences: category-theoretic approach to universal homogeneous structures
- Model theory of operator algebras. II: Model theory
- An approximation theorem for nuclear operator systems
- Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
- Multipliers of operator spaces, and the injective envelope.
- Pure matrix states on operator systems
- A simplex with dense extreme points
- A characterization of ternary rings of operators
- Subspaces of \(C^ *\)-algebras
- Completely positive linear maps on complex matrices
- The Gurarij spaces are unique
- The completely positive lifting problem for \(C^*\)-algebras
- The Poulsen simplex
- \(C^*\)-algebras generated by operator systems
- Generalized inductive limits of finite-dimensional \(C^*\)-algebras
- Operator spaces with few completely bounded maps
- On \(\mathcal O\mathcal L_\infty\) structures of nuclear \(C^\ast\)-algebras
- On injectivity and nuclearity for operator spaces
- Local properties of ternary rings of operators and their linking \(C^{*}\)-algebras
- Operator space characterizations of \(C^*\)-algebras and ternary rings.
- \({\mathcal COL}_p\) spaces -- the local structure of non-commutative \(L_p\) spaces
- Bilinear forms on exact operator spaces and \(B(H) \otimes B(H)\)
- On Kirchberg's embedding problem
- A K-theoretic approach to the classification of symmetric spaces
- Operator space and operator system analogs of Kirchberg's nuclear embedding theorem
- Order-unit quantum Gromov--Hausdorff distance
- The non-commutative Gurarii space
- The isomorphism relation for separable \(C^\ast\)-algebras
- Subalgebras of \(C^ *\)-algebras
- A ternary algebra with applications to matrices and linear transformations
- Structure in real Banach spaces. I and II
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Perturbations of completely positive maps and strong NF algebras
- A matrix convexity approach to some celebrated quantum inequalities
- COMPLETELY CONTRACTIVE PROJECTIONS ON C*-ALGEBRAS
- The calculus of one-sided 𝑀-ideals and multipliers in operator spaces
- Injectivity of Operator Spaces
- A Generalization of C* -Algebras
- The Krein-Milman theorem in operator convexity
- Mapping Spaces and Liftings for Operator Spaces
- The non-commutative Legendre-Fenchel transform
- Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
- Finite dimensional injective operator spaces
- Extremal Matrix States on Operator Systems
- THE JIANG–SU ALGEBRA AS A FRAÏSSÉ LIMIT
- Type Decomposition and the Rectangular AFD Property for W*-TRO’s
- One-sided ideals and approximate identities in operator algebras
- FRAÏSSÉ LIMITS OF METRIC STRUCTURES
- A universal operator on the Gurarii space
- The linear isometry group of the Gurarij space is universal
- The Universal Enveloping Ternary Ring of Operators of a JB*-Triple System
- Multiplier operator algebras and applications
- Sur l'extension aux relations de quelques propriétés des ordres
- The Shilov boundary of an operator space and the characterization theorems
- Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras
This page was built for publication: Uniqueness, universality, and homogeneity of the noncommutative Gurarij space
