Ideals of a \(C^{*}\)-algebra generated by an operator algebra

DOI10.1007/s00209-009-0594-8zbMath1207.46048OpenAlexW2169430886MaRDI QIDQ707570

Kate Juschenko

Publication date: 8 October 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0594-8

zbMATH Keywords

Kadison's similarity problem\(C^{*}\)-algebra generated by an operator algebra\(K\)-boundary ideal

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Convex sets and cones of operators (47L07) Representations of (nonselfadjoint) operator algebras (47L55)

Cites Work

• A characterization of operator algebras
• Every completely polynomially bounded operator is similar to a contraction
• Solution of the similarity problem for cyclic representations of \(C^*- algebras\)
• Injective envelopes of operator systems
• Completely bounded module maps and the Haagerup tensor product
• Norming \(C^*\)-algebras by \(C^*\)-subalgebras
• A completely bounded characterization of operator algebras
• Modules over operator algebras, and the maximal \(C^*\)-dilation
• Subalgebras of \(C^ *\)-algebras
• The noncommutative Choquet boundary
• Completely Bounded Maps between C^∗ -Algebras
• *-Doubles and embedding of associative algebras in $\mathbf{B}(\mathcal{H})$
• Explicit Construction of Universal Operator Algebras and Applications to Polynomial Factorization
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Matrix ordered operator algebras
• On Isomorphisms of C ∗ -Algebras
• The uniqueness of the (complete) norm topology
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