Weak amenability and 2-weak amenability of Beurling algebras |
| |
Authors: | Ebrahim Samei |
| |
Institution: | Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo, ON, Canada, N2L 3G1 |
| |
Abstract: | Let be a Beurling algebra on a locally compact abelian group G. We look for general conditions on the weight which allows the vanishing of continuous derivations of . This leads us to introducing vector-valued Beurling algebras and considering the translation of operators on them. This is then used to connect the augmentation ideal to the behavior of the derivation space. We apply these results to give examples of various classes of Beurling algebras which are weakly amenable, 2-weakly amenable or fail to be even 2-weakly amenable. |
| |
Keywords: | Locally compact groups Group algebras Weight function Beurling algebras Derivations Weakly amenable 2-Weakly amenable |
本文献已被 ScienceDirect 等数据库收录! |
|