Geodesic
On approximately biprojective and approximately biflat Banach algebras
Filomat, Tome 37 (2023) no. 8, p. 2295

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DOI

In this paper, we study the approximate biprojectivity and the approximate biflatness of a Banach algebra A and find some relations between theses concepts with ϕ-amenability and ϕ-contractibility, where ϕ is a character on A. Among other things, we show that θ-Lau product algebra L 1 (G) × θ A(G) is approximately biprojective if and only if G is finite, where L 1 (G) and A(G) are the group algebra and the Fourier algebra of a locally compact group G, respectively. We also characterize approximately biprojective and approximately biflat semigroup algebras associated with the inverse semigroups.
DOI : 10.2298/FIL2308295S
Classification : 46M10, 43A20, 46H05
Keywords: Banach algebra, approximate biprojectivity, approximate biflatness, θ-Lau product 
Amir Sahami; Abasalt Bodaghi. On approximately biprojective and approximately biflat Banach algebras. Filomat, Tome 37 (2023) no. 8, p. 2295 . doi: 10.2298/FIL2308295S
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     title = {On approximately biprojective and approximately biflat {Banach} algebras},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308295S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308295S/}
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