Connes-biprojective dual Banach algebra
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 A , it is Connes-amenable if and only if A is Connes-biprojective and has a bounded approximate identity. Also, for an Arens regular Banach algebra A , we show that if A is biprojective, then the dual Banach algebra A ** is Connes-biprojective.
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