Character amenability and contractibility of abstract Segal algebras

 

CHARACTER AMENABILITY AND CONTRACTIBILITY OF ABSTRACT SEGAL ALGEBRAS


MAHMOOD ALAGHMANDAN

RASOUL NASR-ISFAHANI

 MEHDI NEMATI


Abstract: Let B be an abstract Segal algebra with respect to A. For a nonzero character  on A, we study
-amenability, and -contractibility of A and B. We then apply these results to abstract Segal algebras
related to locally compact groups.
Keywords and phrases: character amenable, abstract Segal algebra.