Ideals of a \(C^{*}\)-algebra generated by an operator algebra
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Publication:707570
DOI10.1007/s00209-009-0594-8zbMath1207.46048OpenAlexW2169430886MaRDI QIDQ707570
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
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
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- 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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