Geodesic
Character Connes amenability of dual Banach algebras
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 243-255.

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We study the notion of character Connes amenability of dual Banach algebras and show that if $A$ is an Arens regular Banach algebra, then $A^{**}$ is character Connes amenable if and only if $A$ is character amenable, which will resolve positively Runde's problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras. These help us to give examples of dual Banach algebras which are not Connes amenable.
DOI : 10.21136/CMJ.2018.0451-16
Classification : 22D15, 43A07, 46H20, 46H25
Keywords: dual Banach algebra; Connes amenability; character amenability; locally compact group 
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Ramezanpour, Mohammad. Character Connes amenability of dual Banach algebras. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 1, pp. 243-255. doi : 10.21136/CMJ.2018.0451-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0451-16/

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