Ideals and structure of operator algebras

zbMath1261.47090arXiv0907.3103MaRDI QIDQ2891153

Melahat Almus, David P. Blecher, Sonia Sharma

Publication date: 13 June 2012

Full work available at URL: https://arxiv.org/abs/0907.3103

zbMATH Keywords

Haagerup tensor productone-sided idealshereditary subalgebraminimal idealsmatrix unitsnonselfadjoint operator algebraannihilator algebra

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces (= matricially normed spaces) (47L25) Ideals and subalgebras (46H10) Limit algebras, subalgebras of (C^*)-algebras (47L40)

Related Items (7)

Operator algebras with contractive approximate identities: weak compactness and the spectrum ⋮ Open projections and Murray–von Neumann equivalence ⋮ 𝐶*-algebras with weak* angelic dual balls ⋮ Operator algebras with contractive approximate identities ⋮ On the quest for positivity in operator algebras ⋮ Operator algebras with contractive approximate identities: A large operator algebra in $c_0$ ⋮ On the structure of ideals and multipliers: A unified approach

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