English

Approximate cohomology in Banach algebras

Functional Analysis 2015-08-07 v1

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 an special case, approximate Hochschild cohomology is introduced and studied.

Keywords

Cite

@article{arxiv.1508.01363,
  title  = {Approximate cohomology in Banach algebras},
  author = {Ahmad Shirinkalam and A. Pourabbas},
  journal= {arXiv preprint arXiv:1508.01363},
  year   = {2015}
}