Geodesic
Operator Connes-amenability of completely bounded multiplier Banach algebras
Archivum mathematicum, Tome 55 (2019) no. 1, pp. 31-42 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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For a completely contractive Banach algebra $B$, we find conditions under which the completely bounded multiplier algebra $\mathcal{M}_{cb}(B)$ is a dual Banach algebra and the operator amenability of $B$ is equivalent to the operator Connes-amenability of $\mathcal{M}_{cb}(B)$. We also show that, in this case, these are equivalent to the existence of a normal virtual operator diagonal.
For a completely contractive Banach algebra $B$, we find conditions under which the completely bounded multiplier algebra $\mathcal{M}_{cb}(B)$ is a dual Banach algebra and the operator amenability of $B$ is equivalent to the operator Connes-amenability of $\mathcal{M}_{cb}(B)$. We also show that, in this case, these are equivalent to the existence of a normal virtual operator diagonal.
DOI : 10.5817/AM2019-1-31
Classification : 46H20
Keywords: amenability; Connes-amenability; dual multiplier algebra; normal virtual operator diagonal 
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Hayati, Bahman; Bodaghi, Abasalt; Amini, Massoud. Operator Connes-amenability of completely bounded multiplier Banach algebras. Archivum mathematicum, Tome 55 (2019) no. 1, pp. 31-42. doi: 10.5817/AM2019-1-31

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