Inner amenability of Lau algebras

INNER AMENABILITY OF LAU ALGEBRAS

R. NASR-ISFAHANI

Abstract: A concept of amenability for an arbitrary Lau algebra called
inner amenability is introduced and studied. The inner amenability of a dis-
crete semigroup is characterized by the inner amenability of its convolution
semigroup algebra. Also, inner amenable Lau algebras are characterized by
several equivalent statements which are similar analogues of properties characterizing
left amenable Lau algebras.