Geodesic
Generalized notions of amenability for a class of matrix algebras
Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 199-208.

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We investigate the amenability and its related homological notions for a class of $I\times I$-upper triangular matrix algebra, say ${\rm UP}(I,A)$, where $A$ is a Banach algebra equipped with a nonzero character. We show that ${\rm UP}(I,A)$ is pseudo-contractible (amenable) if and only if $I$ is singleton and $A$ is pseudo-contractible (amenable), respectively. We also study pseudo-amenability and approximate biprojectivity of ${\rm UP}(I,A)$.
DOI : 10.14712/1213-7243.2019.002
Classification : 43A07, 43A20, 46M10
Keywords: upper triangular Banach algebra; amenability; left $\varphi$-amenability; approximate biprojectivity 
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Sahami, Amir. Generalized notions of amenability for a class of matrix algebras. Commentationes Mathematicae Universitatis Carolinae, Tome 60 (2019) no. 2, pp. 199-208. doi : 10.14712/1213-7243.2019.002. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2019.002/

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