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Keywords:
Lau algebra; inner amenable; topological inner invariant mean
Lau algebra; inner amenable; topological inner invariant mean
Summary:
A concept of amenability for an arbitrary Lau algebra called inner amenability is introduced and studied. The inner amenability of a discrete 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.
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