Elementary operators on Hilbert modules over prime \(C^\ast\)-algebras

DOI10.1016/j.jmaa.2020.123861zbMath1502.47055arXiv2001.02703OpenAlexW2998837450MaRDI QIDQ2304310

Ilja Gogić, Ljiljana Arambašić

Publication date: 9 March 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02703

zbMATH Keywords

\(C^*\)-algebracompletely bounded mapelementary operatorHilbert \(C^*\)-module

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items

Characterizations of elementary operators

Cites Work

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• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Introduction to noncommutative algebra.
• On the central Haagerup tensor product and completely bounded mappings of a \(C^*\)-algebra
• Properties preserved under Morita equivalence of 𝐂*-algebras
• Completely bounded mappings and simplicial complex structure in the primitive ideal space of a $C^*$-algebra
• The closure of two-sided multiplications on C*-algebras and phantom line bundles