Article

Approximate cohomology in Banach algebras

Published in: Quaestiones Mathematicae
Volume 40 , issue 1 , 2017 , pages: 107–118

DOI: 10.2989/16073606.2017.1282551

Author(s): A. Pourabbas Faculty of Mathematics and Computer Science, Iran , A. Shirinkalam Faculty of Mathematics and Computer Science, Iran

Keywords: Primary: 46M20 , Secondary: 46M18 , 46H25 , Primary: 46M20 , Secondary: 46M18 , 46H25

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Abstract

We introduce the notions of approximate cohomology and approximate homotopy in Banach algebras and we study the relation between them. We show that the approximate homotopically equivalent cochain complexes give the same approximate cohomologies. As a special case, approximate Hochschild cohomology is introduced and studied.

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