Approximate cohomology in Banach algebras
| Autor: | Ahmad Shirinkalam, Abdolrasoul Pourabbas |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Approximate cohomology approximate amenability approximate homotopy 46M20 Homotopy Mathematics::Algebraic Topology Cohomology Functional Analysis (math.FA) Mathematics - Functional Analysis Mathematics (miscellaneous) Mathematics::K-Theory and Homology Mathematics::Category Theory FOS: Mathematics Special case Mathematics |
| Zdroj: | Quaestiones Mathematicae; Vol 40, No 1 (2017); 107-118 |
| ISSN: | 1607-3606 1727-933X |
| Popis: | 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.Mathematics Subject Classification (2010): Primary: 46M20; Secondary: 46M18, 46H25.Key words: Approximate cohomology, approximate amenability, approximate homotopy. |
| Databáze: | OpenAIRE |
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