An approximate notion in the homology of the enveloping dual Banach algebras

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Basic Science, Ilam University, P.O. Box 69315-516, Ilam, Iran

2 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

3 Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

In this paper, we introduce a notion of approximate WAP-biprojectivity for the enveloping dual Banach algebras. We also find some relations between approximate Connes amenability, approximate biprojectivity, left φ-contractibility and approximate WAP-biprojectivity. Moreover, we propose a criterion to show that the enveloping dual Banach algebras associated to triangular Banach algebras are not approximately WAP-biprojective. Finally, we present some examples of the enveloping dual Banach algebras associated to l1(S) and ℓ1(N) (equipped with a new multiplication) and also study their approximate WAP-biprojectivity, where S is a unital weakly cancellative semigroup.

Keywords

References

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Algebraic Structures and Their Applications

Articles in Press, Corrected Proof
Available Online from 04 January 2025

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