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| Paper IPM / M / 8437 |
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| Abstract: | |
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Let S be a left compactly cancellative foundation semigroup with
identity e and Ma(S) be its semigroup algebra. In this
paper, we give a characterization for the existence of an inner
invariant extension of δe from Cb(S) to a mean on
L∞(S, Ma(S)) in terms of asymptotically central
bounded approximate identities in Ma(S). We also consider
topological inner invariant means on L∞(S, Ma(S)) to
study strict inner amenability of Ma(S) and their relation
with strict inner amenability of S.
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