\(C^*\)-algebras generated by operator systems

DOI10.1006/jfan.1997.3226zbMath0940.46038OpenAlexW2037241116MaRDI QIDQ1266263

Simon Wassermann, Eberhard Kirchberg

Publication date: 19 July 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3226

zbMATH Keywords

*-homomorphismoperator systemnuclearuniversal \(C^*\)-algebra\(C^*\)-systemclosed self-adjoint unital subspace of a \(C^*\)-algebra with unitregular \(C^*\)-algebrastructure of exact \(C^*\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items

Noncommutative Choquet simplices, Nuclearity properties and $C^*$-envelopes of operator system inductive limits, Uniqueness, universality, and homogeneity of the noncommutative Gurarij space, Local version of approximation theorem and of \(\lambda\)-tensor product of operator systems, The Kirchberg-Wassermann operator system is unique, On coproducts of operator ᵉc-systems, \(C^\ast \)-operator systems and crossed products, EMBEDDINGS AND -ENVELOPES OF EXACT OPERATOR SYSTEMS, Tensor products of operator systems, OPERATOR SYSTEM NUCLEARITY VIA -ENVELOPES, Inductive limits in the operator system and related categories, Modules over operator algebras, and the maximal \(C^*\)-dilation, On a non-commutative analogue of a classical result of Namioka and Phelps, The Ramsey property for operator spaces and noncommutative Choquet simplices, Operator systems from discrete groups, Relative weak injectivity of operator system pairs, An approximation theorem for nuclear operator systems, Unnamed Item, On maximal tensor products and quotient maps of operator systems, Some C^*-algebras whose Ext is not a group, Unnamed Item, On injectivity and nuclearity for operator spaces, The operator system of Toeplitz matrices, ON -ALGEBRAS WHICH DETECT NUCLEARITY

Cites Work

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• On restricted perturbations in inverse images and a description of normalizer algebras in \(C^*\)-algebras
• On subalgebras of the CAR-algebra
• Subquotients of UHF C*-algebras
• Tensor Products of Free-Group C^* -Algebras
• Property T and Approximation of Operators