Nuclear \(C^ *\)-algebras and related questions

DOI10.1007/BF01088202zbMath0622.46041MaRDI QIDQ1090898

Alexander I. Shtern

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

tensor productminimal normcross-normmaximal normnuclear \(C^ *\)- algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Tensor products in functional analysis (46M05)

Cites Work

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• On Morita equivalence of nuclear C*-algebras
• All nuclear C*-algebras are amenable
• Solution of the similarity problem for cyclic representations of \(C^*- algebras\)
• Derivations on a C*-algebra and its double dual
• The full C*-algebra of the free group on two generators
• Strong Morita equivalence of C*-algebras preserves nuclearity
• B(H) does not have the approximation property
• On a tensor product \(C^*\)-algebra associated with the free group on two generators
• Tensor products and approximation problems of \(C^*\)-algebras
• On relative commutants in tensor products of \(C^*\)-algebras
• Injectivity and operator spaces
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Quasi-diagonal C*-algebras
• On tensor products of certain group \(C^*\)-algebras
• The completely positive lifting problem for \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Infinite tensor products of C*-algebras
• Notes on extensions of \(C^*\)-algebras
• Tensor products of operator algebras
• Separable nuclear \(C^*\)-algebras and injectivity
• Simple \(C^*\)-algebras generated by isometries
• On the cohomology of operator algebras
• An example of a non nuclear C*-algebra, which has the metric approximation property
• C*-algebras with approximately inner flip
• \(C^*\)-algebras associated with free products of groups
• A covariant version of Ext
• Applications of Fubini type theorem to the tensor products of \(C^ *\)- algebras
• On the tensor products of von Neumann algebras
• On the purification of factor states
• On nuclear C\(^*\)-algebras
• On the direct-product of operator algebras. I
• C^* -Tensor Norms and Slice Maps
• A Simple C^*-Algebra Generated by Two Finite-Order Unitaries
• Approximating maps and exact C*-algebras
• Tensor Products of ^* -Automorphisms of C ^* -Algebras
• On the Centre of a Tensor Product of C^* -Algebras
• Tensor Products of Non-Unital C^* -Algebras
• The Slice Map Problem for C*-Algebras
• Automorphisms and Tensor Products of Operator Algebras
• On commuting $C^*$-algebras of operators.
• THE CENTRE OF THE TENSOR PRODUCT OF A(K)-SPACES AND C^*-ALGEBRAS
• Injective W*-algebras
• Liftings in C^* -Algebras: a Counterexample
• Lifting Problems and the Cohomology of C*-Algebras
• Note on Lattice Points in Star Domains
• C*-Nuclearity implies CPAP
• Boundary Representations and Tensor Products of C ∗ -Algebras
• Weak Expectations and Injectivity in Operator Algebras
• Quasi-Expectations and Amenable von Neumann Algebras
• Nuclear C ∗ -Algebras and the Approximation Property
• On Approximately Finite-Dimensional Von Neuman Algebras, II
• Shorter Notes: An Intersection Result for Tensor Products of C ∗ - Algebras
• A Commutation Result for Tensor Products of C ^* -Algebras
• C*-Norms and Tensor Products of C*-Algebras
• Approximate Diagonals and Cohomology of Certain Annihilator Banach Algebras

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