@misc{10481/85313,
year = {2022},
month = {11},
url = {https://hdl.handle.net/10481/85313},
abstract = {We call an algebra A commutator-simple if [A, A] does not
contain nonzero ideals of A. After providing several examples, we show
that in these algebras derivations are determined by a condition that is
applicable to the study of local derivations. This enables us to prove
that every continuous local derivation D : L1(G) → L1(G), where G is
a unimodular locally compact group, is a derivation. We also give some
remarks on homomorphism-like maps in commutator-simple algebras.},
organization = {MCIN/AEI/ 10.13039/50110001103 Grant PID2021-122126NB-C31},
organization = {“ERDF A way of
making Europe”},
organization = {Junta de Andalucía FQM-185},
organization = {Slovenian Research Agency (ARRS) Grant P1-0288},
organization = {MIU: FPU18/00419},
publisher = {American Mathematical Society},
keywords = {Derivation},
keywords = {Automorphism},
keywords = {Antiautomorphism},
keywords = {Jordan auto-morphism},
keywords = {Local derivation},
keywords = {Local automorphism},
keywords = {Group algebra},
title = {Derivations and homomorphisms in commutator-simple algebras},
doi = {10.1090/proc/16483},
author = {Alaminos Prats, Jerónimo and Brešar, Matej and Extremera Lizana, José and Castillo Godoy, María Luisa and Villena Muñoz, Armando Reyes},
}