Geodesic
Théorie des opérateurs
Derivations with values in noncommutative symmetric spaces
Huang, Jinghao1  ; Sukochev, Fedor2
1 Institute for Advanced Study in Mathematics of HIT, Harbin Institute of Technology, Harbin, 150001, China
2 School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, Australia
Comptes Rendus. Mathématique, Tome 361 (2023) no. G8, pp. 1357-1365

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Let E=E(0,∞) be a symmetric function space and E(ℳ,τ) be the noncommutative symmetric space corresponding to E(0,∞) associated with a von Neumann algebra with a faithful normal semifinite trace. Our main result identifies the class of spaces E for which every derivation δ:𝒜→E(ℳ,τ) is necessarily inner for each C * -subalgebra 𝒜 in the class of all semifinite von Neumann algebras ℳ as those with the Levi property.

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DOI : 10.5802/crmath.508
Keywords: derivation, noncommutative symmetric space, semifinite von Neumann algebra

Huang, Jinghao 1 ; Sukochev, Fedor 2

1 Institute for Advanced Study in Mathematics of HIT, Harbin Institute of Technology, Harbin, 150001, China
2 School of Mathematics and Statistics, University of New South Wales, Kensington, 2052, Australia
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Derivations with values in noncommutative symmetric spaces},
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Huang, Jinghao; Sukochev, Fedor. Derivations with values in noncommutative symmetric spaces. Comptes Rendus. Mathématique, Tome 361 (2023) no. G8, pp. 1357-1365. doi: 10.5802/crmath.508

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