2-local derivations on \(AW^*\)-algebras of type I

DOI10.1134/S1995080217010061zbMath1390.46062arXiv1409.5571OpenAlexW2963269093MaRDI QIDQ2628647

Farhodjon Arzikulov, Shavkat A. Ayupov

Publication date: 2 June 2017

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5571

zbMATH Keywords

\(AW^*\)-algebras2-local derivations

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) General theory of von Neumann algebras (46L10) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\) ⋮ 2-local Lie derivations of nest subalgebras of factors ⋮ Stability of derivations under weak-2-local continuous perturbations ⋮ 2-local Lie *-automorphisms on factors

Cites Work

• Unnamed Item
• 2-local derivations and automorphisms on \(B(H)\)
• 2-local derivations on von Neumann algebras
• Derivations of AW\(^*\)-algebras are inner
• \(C^*\)-algebras and \(W^*\)-algebras.
• Jordan Derivations on Semiprime Rings
• A NOTE ON 2-LOCAL MAPS
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Local automorphisms and derivations on $\mathbb {M}_n$
• 2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS
• Local and 2-local derivations on noncommutative Arens algebras
• Quasi-States on C ∗ -Algebras