We prove that for many -algebras, the null space of all finite traces is spanned by finite sums of commutators.
Nous montrons que, pour certaines -algèbres, le noyau de toutes les traces finies est engendré par des sommes finies de commutateurs.
@article{AIF_1982__32_1_129_0,
author = {Fack, Thierry},
title = {Finite sums of commutators in $C^*$-algebras},
journal = {Annales de l'Institut Fourier},
pages = {129--137},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {32},
number = {1},
year = {1982},
doi = {10.5802/aif.863},
zbl = {0464.46047},
mrnumber = {83g:46051},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.863/}
}
TY - JOUR AU - Fack, Thierry TI - Finite sums of commutators in $C^*$-algebras JO - Annales de l'Institut Fourier PY - 1982 SP - 129 EP - 137 VL - 32 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.863/ DO - 10.5802/aif.863 LA - en ID - AIF_1982__32_1_129_0 ER -
Fack, Thierry. Finite sums of commutators in $C^*$-algebras. Annales de l'Institut Fourier, Tome 32 (1982) no. 1, pp. 129-137. doi: 10.5802/aif.863
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