Uniform property $\Gamma $ for certain $\mathrm {C^*}$-algebras
Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 1063-1070
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In this paper, let A be an infinite-dimensional stably finite unital simple separable $\mathrm {C^*}$-algebra. Let $B\subset A$ be a centrally large subalgebra in A such that B has uniform property $\Gamma $. Then we prove that A has uniform property $\Gamma $. Let $\Omega $ be a class of stably finite unital $\mathrm {C^*}$-algebras such that for any $B\in \Omega $, B has uniform property $\Gamma $. Then we show that A has uniform property $\Gamma $ for any simple unital $\mathrm {C^*}$-algebra $A\in \rm {TA}\Omega $.
Fan, Qingzhai; Zhang, Shan. Uniform property $\Gamma $ for certain $\mathrm {C^*}$-algebras. Canadian mathematical bulletin, Tome 65 (2022) no. 4, pp. 1063-1070. doi: 10.4153/S0008439521001065
@article{10_4153_S0008439521001065,
author = {Fan, Qingzhai and Zhang, Shan},
title = {Uniform property $\Gamma $ for certain $\mathrm {C^*}$-algebras},
journal = {Canadian mathematical bulletin},
pages = {1063--1070},
year = {2022},
volume = {65},
number = {4},
doi = {10.4153/S0008439521001065},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439521001065/}
}
TY - JOUR
AU - Fan, Qingzhai
AU - Zhang, Shan
TI - Uniform property $\Gamma $ for certain $\mathrm {C^*}$-algebras
JO - Canadian mathematical bulletin
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EP - 1070
VL - 65
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DO - 10.4153/S0008439521001065
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%P 1063-1070
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