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arXiv · 1501.06029

Connes-biprojective dual Banach algebra

Ahmad Shirinkalam·A. Pourabbas
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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 $ \mathcal{A} $, it is Connes-amenable if and only if $ \mathcal{A} $ is Connes-biprojective and has a bounded approximate identity. Also, for an Arens regular Banach algebra $ \mathcal{A} $, we show that if $ \mathcal{A} $ is biprojective, then the dual Banach algebra $ \mathcal{A} ^{**} $ is Connes-biprojective.

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Ahmad Shirinkalam, A. Pourabbas. 2015-01-24. Connes-biprojective dual Banach algebra. https://arxiv.org/abs/1501.06029

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