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.

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     title = {Finite sums and products of commutators in inductive limit $C^*$-algebras},
     journal = {Annales de l'Institut Fourier},
     pages = {225--249},
     publisher = {Institut Fourier},
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     year = {1993},
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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. https://www.numdam.org/articles/10.5802/aif.1328/

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