Nous montrons que, pour certaines -algèbres, le noyau de toutes les traces finies est engendré par des sommes finies de commutateurs.
We prove that for many -algebras, the null space of all finite traces is spanned by finite sums of commutators.
@article{AIF_1982__32_1_129_0,
author = {Fack, Thierry},
title = {Finite sums of commutators in $C^*$-algebras},
journal = {Annales de l'Institut Fourier},
volume = {32},
year = {1982},
pages = {129-137},
doi = {10.5802/aif.863},
mrnumber = {83g:46051},
zbl = {0464.46047},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1982__32_1_129_0}
}
Fack, Thierry. Finite sums of commutators in $C^*$-algebras. Annales de l'Institut Fourier, Tome 32 (1982) pp. 129-137. doi : 10.5802/aif.863. http://gdmltest.u-ga.fr/item/AIF_1982__32_1_129_0/
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