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}, pages = {129--137}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {32}, number = {1}, year = {1982}, doi = {10.5802/aif.863}, mrnumber = {83g:46051}, zbl = {0464.46047}, language = {en}, url = {http://archive.numdam.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 - http://archive.numdam.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. http://archive.numdam.org/articles/10.5802/aif.863/
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