Finite sums and products of commutators in inductive limit C * -algebras
Annales de l'Institut Fourier, Tome 43 (1993) no. 1, pp. 225-249.

Des résultats de T. Fack, P. de La Harpe et G. Skandalis sur la structure interne des AF-algèbres simples sont généralisés à des C * -algèbres qui sont limites inductives de sommes directes finies de C * -algèbres homogènes. Les généralisations sont obtenues sous diverses hypothèses concernant les C * -algèbres dont les constructions dépendent; mais tous les résultats sont valables pour les limites inductives (avec unité) de sommes directes finies d’algèbres de matrices à coefficients dans les fonctions continues sur le cercle.

Results of T. Fack, P. de la Harpe and G. Skandalis concerning the internal structure of simple AF-algebras are extended to C * -algebras that are inductive limits of finite direct sums of homogeneous C * -algebras. The generalizations are obtained with slightly varying assumptions on the building blocks, but all results are applicable to unital simple inductive limits of finite direct sums of circle algebras.

@article{AIF_1993__43_1_225_0,
     author = {Thomsen, Klaus},
     title = {Finite sums and products of commutators in inductive limit $C^*$-algebras},
     journal = {Annales de l'Institut Fourier},
     pages = {225--249},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {43},
     number = {1},
     year = {1993},
     doi = {10.5802/aif.1328},
     zbl = {0766.46043},
     mrnumber = {94g:46062},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.1328/}
}
Thomsen, Klaus. Finite sums and products of commutators in inductive limit $C^*$-algebras. Annales de l'Institut Fourier, Tome 43 (1993) no. 1, pp. 225-249. doi : 10.5802/aif.1328. http://archive.numdam.org/articles/10.5802/aif.1328/

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