Geodesic
Obstructions to Z-Stability for Unital Simple C *-Algebras
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 418-426

Voir la notice de l'article provenant de la source Cambridge University Press

Let $\text{Z}$ be the unital simple nuclear infinite dimensional ${{C}^{*}}$ -algebra which has the same Elliott invariant as $\mathbb{C}$ , introduced in [9]. A ${{C}^{*}}$ -algebra is called $\text{Z}$ -stable if $A\,\cong \,A\,\otimes \,\text{Z}$ . In this note we give some necessary conditions for a unital simple ${{C}^{*}}$ -algebra to be $\text{Z}$ -stable.
DOI : 10.4153/CMB-2000-050-1
Mots-clés : 46L05, simple C *-algebra, Z-stability, weak (un)perforation in K 0 group, property Γ, finiteness. 
Gong, Guihua; Jiang, Xinhui; Su, Hongbing. Obstructions to Z-Stability for Unital Simple C *-Algebras. Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 418-426. doi: 10.4153/CMB-2000-050-1
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