Topologically Injective $C^*$-Algebras
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91.

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A criterion for the topological injectivity of an $AW^*$-algebra as a right Banach module over itself is given. A necessary condition for a $C^*$-algebra to be topologically injective is obtained.
Keywords: topological injectivity, metric injectivity, $AW^*$-algebra, $C^*$-algebra, l.u.st. property.
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N. T. Nemesh. Topologically Injective $C^*$-Algebras. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a8/

[1] L. Nachbin, Trans. Amer. Math. Soc., 68 (1950), 28–46 | DOI | MR | Zbl

[2] D. Goodner, Trans. Amer. Math. Soc., 69 (1950), 89–108 | DOI | MR | Zbl

[3] J. L. Kelley, Trans. Amer. Math. Soc., 72 (1952), 323–326 | DOI | MR | Zbl

[4] M. Hasumi, Tohoku Math. J. (2), 10:2 (1958), 135–142 | DOI | MR | Zbl

[5] E. G. Effros, Z.-J. Ruan, Operator Spaces, The Clarendon Press, Oxford University Press, New York, 2000 | MR

[6] A. Ya. Khelemskii, Trudy MMO, 47 (1984), 179–218 | MR | Zbl

[7] A. Ya. Khelemskii, Matem. sb., 204:7 (2013), 127–158 | DOI | MR | Zbl

[8] M. Hamana, Tohoku Math. J. (2), 30:3 (1978), 439–453 | DOI | MR | Zbl

[9] M. Takesaki, Kodai Math. Sem. Rep., 12:1 (1960), 1–10 | DOI | MR | Zbl

[10] J. Diestel, H. Jarchow, A. Tonge, Absolutely Summing Operators, Cambridge Studies in Advanced Math., 43, Cambridge University Press, Cambridge, 1995 | MR | Zbl

[11] A. T.-M. Lau, R. J. Loy, G. A. Willis, Studia Math., 119:2 (1996), 161–178 | MR | Zbl

[12] Y. Gordon, D. R. Lewis, Acta Math., 133:1 (1974), 27–48 | DOI | MR | Zbl

[13] B. Blackadar, Operator Algebras, Encyclopedia of Math. Sciences, 122, Springer-Verlag, Berlin, 2006 | DOI | MR | Zbl

[14] R. R. Smith, D. P. Williams, J. Operator Theory, 16:1 (1986), 51–74 | MR | Zbl