2023/01/20 by Maryam Aghakoochai, Aghakoochai, Maryam, Ali Rejali +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.2301.08520
openalex publication_date 2023/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G and H be locally compact groups. BM(G, H) denoted the Banach algebra of bounded bilinear forms on C0(G)× C0(H).In this paper, the homological properties of Bimeasure algebras are investigated. It is found and approved that the Bimeasure algebras BM(G, H) is amenable if and only if G and H are discrete. The correlation between the weak amenability of BM(G, H) and M(G× H) is assessed. It is found and approved that the biprojectivity of the bimeasure algebra BM(G, H) is equivalent to the finiteness of G and H. Furthermore, we show that the bimeasure group algebra BMa(G, H) is a BSE algebra. It will be concluded that BM(G, H) is a BSE- algebra if and only if G and H are discrete groups.