On approximate Connes-biprojectivity of dual Banach algebras

Autor:	Shariati, S. F., Pourabbas, A., Sahami, A.
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	In this paper, we introduce a notion of approximate Connes-biprojectivity for dual Banach algebras. We study the relation between approximate Connes-biprojectivity, Johnson pseudo-Connes amenability and $\varphi$-Connes amenability. We propose a criterion to show that some certain dual triangular Banach algebras are not approximately Connes-biprojective. Next we show that for a locally compact group $G$, the Banach algebra $M(G)$ is approximately Connes-biprojective if and only if $G$ is amenable. Finally for an infinite commutative compact group $G$ we show that the Banach algebra $L^2(G)$ with convolution product is approximately Connes-biprojective, but it is not Connes-biprojective. Comment: arXiv admin note: text overlap with arXiv:1801.03374
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.03996 Zobrazit plný text záznamu View this record from Arxiv