First cohomology on weighted semigroup algebras

Gordji, M. Eshaghi; Habibian, F.; Rejali, A.

First cohomology on weighted semigroup algebras

Authors

Gordji, M. Eshaghi

Habibian, F.

Rejali, A.

Description

The aim of this work is to generalize Johnson's techniques in order to apply them to establish a bijective correspondence between $S$-derivations and continuous derivations on $M_a(S,ω),$ where $S$ is a locally compact foundation semigroup with identity $e$, and $ω$ is a weight function on $S$, and apply it to find a necessary condition for amenability of weighted group algebras.
12 pages