Obstructions to Z-Stability for Unital Simple C *-Algebras
Canadian mathematical bulletin, Tome 43 (2000) no. 4, pp. 418-426
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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.
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
@article{10_4153_CMB_2000_050_1,
author = {Gong, Guihua and Jiang, Xinhui and Su, Hongbing},
title = {Obstructions to {Z-Stability} for {Unital} {Simple} {C} {*-Algebras}},
journal = {Canadian mathematical bulletin},
pages = {418--426},
year = {2000},
volume = {43},
number = {4},
doi = {10.4153/CMB-2000-050-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-050-1/}
}
TY - JOUR AU - Gong, Guihua AU - Jiang, Xinhui AU - Su, Hongbing TI - Obstructions to Z-Stability for Unital Simple C *-Algebras JO - Canadian mathematical bulletin PY - 2000 SP - 418 EP - 426 VL - 43 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-050-1/ DO - 10.4153/CMB-2000-050-1 ID - 10_4153_CMB_2000_050_1 ER -
%0 Journal Article %A Gong, Guihua %A Jiang, Xinhui %A Su, Hongbing %T Obstructions to Z-Stability for Unital Simple C *-Algebras %J Canadian mathematical bulletin %D 2000 %P 418-426 %V 43 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-050-1/ %R 10.4153/CMB-2000-050-1 %F 10_4153_CMB_2000_050_1
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