Geodesic
Stability of Real C*-Algebras
Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 593-606

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DOI

We will give a characterization of stable real ${{C}^{*}}$ -algebras analogous to the one given for complex ${{C}^{*}}$ -algebras by Hjelmborg and Rørdam. Using this result, we will prove that any real ${{C}^{*}}$ -algebra satisfying the corona factorization property is stable if and only if its complexification is stable. Real ${{C}^{*}}$ -algebras satisfying the corona factorization property include $\text{AF}$ -algebras and purely infinite C*-algebras. We will also provide an example of a simple unstable C*-algebra, the complexification of which is stable.
DOI : 10.4153/CMB-2011-019-0
Mots-clés : 46L05, stability, real C*-algebras 
Boersema, Jeffrey L.; Ruiz, Efren. Stability of Real C*-Algebras. Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 593-606. doi: 10.4153/CMB-2011-019-0
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     title = {Stability of {Real} {C*-Algebras}},
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     year = {2011},
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     number = {4},
     doi = {10.4153/CMB-2011-019-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-019-0/}
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