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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