Connes-biprojective dual Banach algebra
Functional Analysis
2015-01-27 v1
Abstract
In this paper, we introduce a new notion of biprojectivity, called Connes-biprojective, for dual Banach algebras. We study the relation between this new notion to Connes-amenability and we show that, for a given dual Banach algebra , it is Connes-amenable if and only if is Connes-biprojective and has a bounded approximate identity. Also, for an Arens regular Banach algebra , we show that if is biprojective, then the dual Banach algebra is Connes-biprojective.
Keywords
Cite
@article{arxiv.1501.06029,
title = {Connes-biprojective dual Banach algebra},
author = {Ahmad Shirinkalam and A. Pourabbas},
journal= {arXiv preprint arXiv:1501.06029},
year = {2015}
}