Characterizing C*-algebras of compact operators by generic categorical properties of Hilbert C*-modules

DOI10.1017/is008001031jkt035zbMath1163.46039arXivmath/0611348OpenAlexW1985129958MaRDI QIDQ3549297

Michael Frank

Publication date: 22 December 2008

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611348

zbMATH Keywords

Hilbert \(C^*\)-module\(C^*\)-algebra of compact operatorsbounded module map

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (10)

Closed range and nonclosed range adjointable operators on Hilbert \(C^*\)-modules ⋮ Erratum to ‘Some results about EP modular operators’ ⋮ Power-norms based on Hilbert \(C^\ast\)-modules ⋮ Extensions of the Lax-Milgram theorem to Hilbert \(C^*\)-modules ⋮ Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules ⋮ Left multipliers of reproducing kernel Hilbert \(C^\ast \)-modules and the Papadakis theorem ⋮ EP modular operators and their products ⋮ The product of operators with closed range in Hilbert \(C^{*}\)-modules ⋮ Residually finite-dimensional operator algebras ⋮ Isomorphisms and automorphisms of discrete multiplier Hopf \(C^*\)-algebras

Cites Work

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• Injective Hilbert \(C^*\)-modules
• Geometrical aspects of Hilbert \(C^*\)-modules
• A description of Hilbert 𝐶*-modules in which all closed submodules are orthogonally closed
• Hilbert 𝐶*-modules in which all closed submodules are complemented
• Discrete spectra of $C^{*}$-algebras and complemented submodules in Hilbert $C^{*}$-modules
• Discrete spectra of 𝐶*-algebras and orthogonally closed submodules in Hilbert 𝐶*-modules
• Inner Product Modules Over B ∗ -Algebras

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