Weak-local derivations and homomorphisms on C*-algebras
Operator Algebras
2014-12-01 v2 Functional Analysis
Abstract
We prove that every weak-local derivation on a C-algebra is continuous, and the same conclusion remains valid for weak-local derivations on von Neumann algebras. We further show that weak-local derivations on C-algebras and weak-local derivations on von Neumann algebras are derivations. We also study the connections between bilocal derivations and bilocal -automorphism with our notions of extreme-strong-local derivations and automorphisms.
Keywords
Cite
@article{arxiv.1411.4795,
title = {Weak-local derivations and homomorphisms on C*-algebras},
author = {Ahlem Ben Ali Essaleh and Antonio M. Peralta and María Isabel Ramírez},
journal= {arXiv preprint arXiv:1411.4795},
year = {2014}
}