Geodesic
On Extensions of Stably Finite C*-Algebras (II)
Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 435-439

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DOI

For any ${{C}^{*}}$ -algebra $A$ with an approximate unit of projections, there is a smallest ideal $I$ of $A$ such that the quotient $A$ / $I$ is stably finite. In this paper a sufficient and necessary condition for an ideal of a ${{C}^{*}}$ -algebra with real rank zero to be this smallest ideal is obtained by using $K$ -theory
DOI : 10.4153/CMB-2015-069-9
Mots-clés : 46L05, 46L80, extension, stably finite C*-algebra, index map 
Yao, Hongliang. On Extensions of Stably Finite C*-Algebras (II). Canadian mathematical bulletin, Tome 59 (2016) no. 2, pp. 435-439. doi: 10.4153/CMB-2015-069-9
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     title = {On {Extensions} of {Stably} {Finite} {C*-Algebras} {(II)}},
     journal = {Canadian mathematical bulletin},
     pages = {435--439},
     year = {2016},
     volume = {59},
     number = {2},
     doi = {10.4153/CMB-2015-069-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-069-9/}
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