2014/09/26 by Amir Sahami, A. Sahami, Sahami, A. +2
Mathematics · #43A20 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Primary 43A07 #Secondary 46H05 #math.FA #msc:43A07 #msc:43A20 #msc:46H05
paper · pdf · doi:10.48550/arxiv.1409.7515
arxiv created 2014/09/26 · openalex publication_date 2014/09/26 · arxiv updated 2014/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we investigate the notion of approximate biprojectivity for semigroup algebras and for some Banach algebras related to semigroup algebras. We show that ℓ1(S) is approximately biprojective if and only if ℓ1(S) is biprojective, provided that S is a uniformly locally finite inverse semigroup. Also for a Clifford semigroup S, we show that approximate biprojectivity ℓ1(S)** gives pseudo amenability of ℓ1(S). We give a class of Banach algebras related to semigroup algebras which is not approximately biprojective.